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Finding the Third Proportional to 278,654 and 417,332

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Solution

The third proportional to 278,654 and 417,332 is: 625,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,654 : 417,332 = 417,332 : x
  2. Step 2: Convert to fraction form
    278,654/417,332 = 417,332/x
  3. Step 3: Cross multiply
    278,654x = 417,332 × 417,332
  4. Step 4: Simplify right side
    278,654x = 174,165,998,224
  5. Step 5: Solve for x
    x = 174,165,998,224/278,654
  6. Step 6: Final answer
    x = 625,026.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.