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Finding the Third Proportional to 260,045.50 and 559,457

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Solution

The third proportional to 260,045.50 and 559,457 is: 1,203,605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,045.50 : 559,457 = 559,457 : x
  2. Step 2: Convert to fraction form
    260,045.50/559,457 = 559,457/x
  3. Step 3: Cross multiply
    260,045.50x = 559,457 × 559,457
  4. Step 4: Simplify right side
    260,045.50x = 312,992,134,849
  5. Step 5: Solve for x
    x = 312,992,134,849/260,045.50
  6. Step 6: Final answer
    x = 1,203,605.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.