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Finding the Third Proportional to 431,684 and 647,526

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Solution

The third proportional to 431,684 and 647,526 is: 971,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,684 : 647,526 = 647,526 : x
  2. Step 2: Convert to fraction form
    431,684/647,526 = 647,526/x
  3. Step 3: Cross multiply
    431,684x = 647,526 × 647,526
  4. Step 4: Simplify right side
    431,684x = 419,289,920,676
  5. Step 5: Solve for x
    x = 419,289,920,676/431,684
  6. Step 6: Final answer
    x = 971,289

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.