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Finding the Third Proportional to 362,496 and 551,424

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Solution

The third proportional to 362,496 and 551,424 is: 838,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,496 : 551,424 = 551,424 : x
  2. Step 2: Convert to fraction form
    362,496/551,424 = 551,424/x
  3. Step 3: Cross multiply
    362,496x = 551,424 × 551,424
  4. Step 4: Simplify right side
    362,496x = 304,068,427,776
  5. Step 5: Solve for x
    x = 304,068,427,776/362,496
  6. Step 6: Final answer
    x = 838,818.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.