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Finding the Third Proportional to 278,568 and 601,470

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Solution

The third proportional to 278,568 and 601,470 is: 1,298,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,568 : 601,470 = 601,470 : x
  2. Step 2: Convert to fraction form
    278,568/601,470 = 601,470/x
  3. Step 3: Cross multiply
    278,568x = 601,470 × 601,470
  4. Step 4: Simplify right side
    278,568x = 361,766,160,900
  5. Step 5: Solve for x
    x = 361,766,160,900/278,568
  6. Step 6: Final answer
    x = 1,298,663.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.