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Finding the Third Proportional to 477,016 and 645,539

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Solution

The third proportional to 477,016 and 645,539 is: 873,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,016 : 645,539 = 645,539 : x
  2. Step 2: Convert to fraction form
    477,016/645,539 = 645,539/x
  3. Step 3: Cross multiply
    477,016x = 645,539 × 645,539
  4. Step 4: Simplify right side
    477,016x = 416,720,600,521
  5. Step 5: Solve for x
    x = 416,720,600,521/477,016
  6. Step 6: Final answer
    x = 873,598.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.