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Finding the Third Proportional to 477,452.25 and 648,820.13

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Solution

The third proportional to 477,452.25 and 648,820.13 is: 881,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,452.25 : 648,820.13 = 648,820.13 : x
  2. Step 2: Convert to fraction form
    477,452.25/648,820.13 = 648,820.13/x
  3. Step 3: Cross multiply
    477,452.25x = 648,820.13 × 648,820.13
  4. Step 4: Simplify right side
    477,452.25x = 420,967,554,605.02
  5. Step 5: Solve for x
    x = 420,967,554,605.02/477,452.25
  6. Step 6: Final answer
    x = 881,695.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.