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Finding the Third Proportional to 260,559,492.75 and 573,582,165.75

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Solution

The third proportional to 260,559,492.75 and 573,582,165.75 is: 1,262,654,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,559,492.75 : 573,582,165.75 = 573,582,165.75 : x
  2. Step 2: Convert to fraction form
    260,559,492.75/573,582,165.75 = 573,582,165.75/x
  3. Step 3: Cross multiply
    260,559,492.75x = 573,582,165.75 × 573,582,165.75
  4. Step 4: Simplify right side
    260,559,492.75x = 328,996,500,866,460,480
  5. Step 5: Solve for x
    x = 328,996,500,866,460,480/260,559,492.75
  6. Step 6: Final answer
    x = 1,262,654,057.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.