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Finding the Third Proportional to 270,940 and 402,494

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Solution

The third proportional to 270,940 and 402,494 is: 597,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,940 : 402,494 = 402,494 : x
  2. Step 2: Convert to fraction form
    270,940/402,494 = 402,494/x
  3. Step 3: Cross multiply
    270,940x = 402,494 × 402,494
  4. Step 4: Simplify right side
    270,940x = 162,001,420,036
  5. Step 5: Solve for x
    x = 162,001,420,036/270,940
  6. Step 6: Final answer
    x = 597,923.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.