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Finding the Third Proportional to 319,424 and 698,466

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Solution

The third proportional to 319,424 and 698,466 is: 1,527,295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,424 : 698,466 = 698,466 : x
  2. Step 2: Convert to fraction form
    319,424/698,466 = 698,466/x
  3. Step 3: Cross multiply
    319,424x = 698,466 × 698,466
  4. Step 4: Simplify right side
    319,424x = 487,854,753,156
  5. Step 5: Solve for x
    x = 487,854,753,156/319,424
  6. Step 6: Final answer
    x = 1,527,295.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.