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Finding the Third Proportional to 466,217 and 696,449

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Solution

The third proportional to 466,217 and 696,449 is: 1,040,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,217 : 696,449 = 696,449 : x
  2. Step 2: Convert to fraction form
    466,217/696,449 = 696,449/x
  3. Step 3: Cross multiply
    466,217x = 696,449 × 696,449
  4. Step 4: Simplify right side
    466,217x = 485,041,209,601
  5. Step 5: Solve for x
    x = 485,041,209,601/466,217
  6. Step 6: Final answer
    x = 1,040,376.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.