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Finding the Third Proportional to 650,298.38 and 1,000,324.69

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Solution

The third proportional to 650,298.38 and 1,000,324.69 is: 1,538,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,298.38 : 1,000,324.69 = 1,000,324.69 : x
  2. Step 2: Convert to fraction form
    650,298.38/1,000,324.69 = 1,000,324.69/x
  3. Step 3: Cross multiply
    650,298.38x = 1,000,324.69 × 1,000,324.69
  4. Step 4: Simplify right side
    650,298.38x = 1,000,649,480,421.97
  5. Step 5: Solve for x
    x = 1,000,649,480,421.97/650,298.38
  6. Step 6: Final answer
    x = 1,538,754.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.