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Finding the Third Proportional to 259,528.50 and 563,121

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Solution

The third proportional to 259,528.50 and 563,121 is: 1,221,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,528.50 : 563,121 = 563,121 : x
  2. Step 2: Convert to fraction form
    259,528.50/563,121 = 563,121/x
  3. Step 3: Cross multiply
    259,528.50x = 563,121 × 563,121
  4. Step 4: Simplify right side
    259,528.50x = 317,105,260,641
  5. Step 5: Solve for x
    x = 317,105,260,641/259,528.50
  6. Step 6: Final answer
    x = 1,221,851.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.