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Finding the Third Proportional to 491,228.30 and 781,129.83

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Solution

The third proportional to 491,228.30 and 781,129.83 is: 1,242,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,228.30 : 781,129.83 = 781,129.83 : x
  2. Step 2: Convert to fraction form
    491,228.30/781,129.83 = 781,129.83/x
  3. Step 3: Cross multiply
    491,228.30x = 781,129.83 × 781,129.83
  4. Step 4: Simplify right side
    491,228.30x = 610,163,808,386.59
  5. Step 5: Solve for x
    x = 610,163,808,386.59/491,228.30
  6. Step 6: Final answer
    x = 1,242,118.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.