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Finding the Third Proportional to 462,606.19 and 725,856.19

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Solution

The third proportional to 462,606.19 and 725,856.19 is: 1,138,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,606.19 : 725,856.19 = 725,856.19 : x
  2. Step 2: Convert to fraction form
    462,606.19/725,856.19 = 725,856.19/x
  3. Step 3: Cross multiply
    462,606.19x = 725,856.19 × 725,856.19
  4. Step 4: Simplify right side
    462,606.19x = 526,867,204,932.04
  5. Step 5: Solve for x
    x = 526,867,204,932.04/462,606.19
  6. Step 6: Final answer
    x = 1,138,910.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.