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Finding the Third Proportional to 362,506 and 551,439

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Solution

The third proportional to 362,506 and 551,439 is: 838,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,506 : 551,439 = 551,439 : x
  2. Step 2: Convert to fraction form
    362,506/551,439 = 551,439/x
  3. Step 3: Cross multiply
    362,506x = 551,439 × 551,439
  4. Step 4: Simplify right side
    362,506x = 304,084,970,721
  5. Step 5: Solve for x
    x = 304,084,970,721/362,506
  6. Step 6: Final answer
    x = 838,841.21

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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.