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Finding the Third Proportional to 278,902.13 and 604,171.13

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Solution

The third proportional to 278,902.13 and 604,171.13 is: 1,308,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,902.13 : 604,171.13 = 604,171.13 : x
  2. Step 2: Convert to fraction form
    278,902.13/604,171.13 = 604,171.13/x
  3. Step 3: Cross multiply
    278,902.13x = 604,171.13 × 604,171.13
  4. Step 4: Simplify right side
    278,902.13x = 365,022,748,283.77
  5. Step 5: Solve for x
    x = 365,022,748,283.77/278,902.13
  6. Step 6: Final answer
    x = 1,308,784.39

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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.