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Finding the Third Proportional to 477,110.25 and 730,954.13

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Solution

The third proportional to 477,110.25 and 730,954.13 is: 1,119,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,110.25 : 730,954.13 = 730,954.13 : x
  2. Step 2: Convert to fraction form
    477,110.25/730,954.13 = 730,954.13/x
  3. Step 3: Cross multiply
    477,110.25x = 730,954.13 × 730,954.13
  4. Step 4: Simplify right side
    477,110.25x = 534,293,932,854.52
  5. Step 5: Solve for x
    x = 534,293,932,854.52/477,110.25
  6. Step 6: Final answer
    x = 1,119,854.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.