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Finding the Third Proportional to 625,829.50 and 1,162,266.50

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Solution

The third proportional to 625,829.50 and 1,162,266.50 is: 2,158,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,829.50 : 1,162,266.50 = 1,162,266.50 : x
  2. Step 2: Convert to fraction form
    625,829.50/1,162,266.50 = 1,162,266.50/x
  3. Step 3: Cross multiply
    625,829.50x = 1,162,266.50 × 1,162,266.50
  4. Step 4: Simplify right side
    625,829.50x = 1,350,863,417,022.25
  5. Step 5: Solve for x
    x = 1,350,863,417,022.25/625,829.50
  6. Step 6: Final answer
    x = 2,158,516.68

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.