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Finding the Third Proportional to 269,355.13 and 417,060.38

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Solution

The third proportional to 269,355.13 and 417,060.38 is: 645,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,355.13 : 417,060.38 = 417,060.38 : x
  2. Step 2: Convert to fraction form
    269,355.13/417,060.38 = 417,060.38/x
  3. Step 3: Cross multiply
    269,355.13x = 417,060.38 × 417,060.38
  4. Step 4: Simplify right side
    269,355.13x = 173,939,356,395.14
  5. Step 5: Solve for x
    x = 173,939,356,395.14/269,355.13
  6. Step 6: Final answer
    x = 645,762.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.