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Finding the Third Proportional to 526,159.13 and 769,555.69

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Solution

The third proportional to 526,159.13 and 769,555.69 is: 1,125,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,159.13 : 769,555.69 = 769,555.69 : x
  2. Step 2: Convert to fraction form
    526,159.13/769,555.69 = 769,555.69/x
  3. Step 3: Cross multiply
    526,159.13x = 769,555.69 × 769,555.69
  4. Step 4: Simplify right side
    526,159.13x = 592,215,956,163.60
  5. Step 5: Solve for x
    x = 592,215,956,163.60/526,159.13
  6. Step 6: Final answer
    x = 1,125,545.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.