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Finding the Third Proportional to 415,089.56 and 865,581.19

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Solution

The third proportional to 415,089.56 and 865,581.19 is: 1,804,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,089.56 : 865,581.19 = 865,581.19 : x
  2. Step 2: Convert to fraction form
    415,089.56/865,581.19 = 865,581.19/x
  3. Step 3: Cross multiply
    415,089.56x = 865,581.19 × 865,581.19
  4. Step 4: Simplify right side
    415,089.56x = 749,230,792,153.91
  5. Step 5: Solve for x
    x = 749,230,792,153.91/415,089.56
  6. Step 6: Final answer
    x = 1,804,985.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.