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Finding the Third Proportional to 278,868.13 and 604,098.95

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Solution

The third proportional to 278,868.13 and 604,098.95 is: 1,308,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,868.13 : 604,098.95 = 604,098.95 : x
  2. Step 2: Convert to fraction form
    278,868.13/604,098.95 = 604,098.95/x
  3. Step 3: Cross multiply
    278,868.13x = 604,098.95 × 604,098.95
  4. Step 4: Simplify right side
    278,868.13x = 364,935,540,447.20
  5. Step 5: Solve for x
    x = 364,935,540,447.20/278,868.13
  6. Step 6: Final answer
    x = 1,308,631.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.