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Finding the Third Proportional to 650,148.75 and 862,678.13

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Solution

The third proportional to 650,148.75 and 862,678.13 is: 1,144,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,148.75 : 862,678.13 = 862,678.13 : x
  2. Step 2: Convert to fraction form
    650,148.75/862,678.13 = 862,678.13/x
  3. Step 3: Cross multiply
    650,148.75x = 862,678.13 × 862,678.13
  4. Step 4: Simplify right side
    650,148.75x = 744,213,547,353.52
  5. Step 5: Solve for x
    x = 744,213,547,353.52/650,148.75
  6. Step 6: Final answer
    x = 1,144,681.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.