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Finding the Third Proportional to 438,320 and 655,711

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Solution

The third proportional to 438,320 and 655,711 is: 980,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,320 : 655,711 = 655,711 : x
  2. Step 2: Convert to fraction form
    438,320/655,711 = 655,711/x
  3. Step 3: Cross multiply
    438,320x = 655,711 × 655,711
  4. Step 4: Simplify right side
    438,320x = 429,956,915,521
  5. Step 5: Solve for x
    x = 429,956,915,521/438,320
  6. Step 6: Final answer
    x = 980,920.14

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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.