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Finding the Third Proportional to 278,066.50 and 607,103

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Solution

The third proportional to 278,066.50 and 607,103 is: 1,325,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,066.50 : 607,103 = 607,103 : x
  2. Step 2: Convert to fraction form
    278,066.50/607,103 = 607,103/x
  3. Step 3: Cross multiply
    278,066.50x = 607,103 × 607,103
  4. Step 4: Simplify right side
    278,066.50x = 368,574,052,609
  5. Step 5: Solve for x
    x = 368,574,052,609/278,066.50
  6. Step 6: Final answer
    x = 1,325,488.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.