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Finding the Third Proportional to 362,498 and 551,427

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Solution

The third proportional to 362,498 and 551,427 is: 838,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,498 : 551,427 = 551,427 : x
  2. Step 2: Convert to fraction form
    362,498/551,427 = 551,427/x
  3. Step 3: Cross multiply
    362,498x = 551,427 × 551,427
  4. Step 4: Simplify right side
    362,498x = 304,071,736,329
  5. Step 5: Solve for x
    x = 304,071,736,329/362,498
  6. Step 6: Final answer
    x = 838,823.21

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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.