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Finding the Third Proportional to 338,856.75 and 736,759.13

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Solution

The third proportional to 338,856.75 and 736,759.13 is: 1,601,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,856.75 : 736,759.13 = 736,759.13 : x
  2. Step 2: Convert to fraction form
    338,856.75/736,759.13 = 736,759.13/x
  3. Step 3: Cross multiply
    338,856.75x = 736,759.13 × 736,759.13
  4. Step 4: Simplify right side
    338,856.75x = 542,814,008,270.77
  5. Step 5: Solve for x
    x = 542,814,008,270.77/338,856.75
  6. Step 6: Final answer
    x = 1,601,898.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.