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Finding the Third Proportional to 551,781 and 741,507

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Solution

The third proportional to 551,781 and 741,507 is: 996,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,781 : 741,507 = 741,507 : x
  2. Step 2: Convert to fraction form
    551,781/741,507 = 741,507/x
  3. Step 3: Cross multiply
    551,781x = 741,507 × 741,507
  4. Step 4: Simplify right side
    551,781x = 549,832,631,049
  5. Step 5: Solve for x
    x = 549,832,631,049/551,781
  6. Step 6: Final answer
    x = 996,468.95

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.