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Finding the Third Proportional to 278,542 and 610,482

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Solution

The third proportional to 278,542 and 610,482 is: 1,337,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,542 : 610,482 = 610,482 : x
  2. Step 2: Convert to fraction form
    278,542/610,482 = 610,482/x
  3. Step 3: Cross multiply
    278,542x = 610,482 × 610,482
  4. Step 4: Simplify right side
    278,542x = 372,688,272,324
  5. Step 5: Solve for x
    x = 372,688,272,324/278,542
  6. Step 6: Final answer
    x = 1,337,996.68

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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.