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Finding the Third Proportional to 362,508 and 551,442

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Solution

The third proportional to 362,508 and 551,442 is: 838,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,508 : 551,442 = 551,442 : x
  2. Step 2: Convert to fraction form
    362,508/551,442 = 551,442/x
  3. Step 3: Cross multiply
    362,508x = 551,442 × 551,442
  4. Step 4: Simplify right side
    362,508x = 304,088,279,364
  5. Step 5: Solve for x
    x = 304,088,279,364/362,508
  6. Step 6: Final answer
    x = 838,845.71

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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.