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Finding the Third Proportional to 587,529.56 and 792,717.19

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Solution

The third proportional to 587,529.56 and 792,717.19 is: 1,069,564.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,529.56 : 792,717.19 = 792,717.19 : x
  2. Step 2: Convert to fraction form
    587,529.56/792,717.19 = 792,717.19/x
  3. Step 3: Cross multiply
    587,529.56x = 792,717.19 × 792,717.19
  4. Step 4: Simplify right side
    587,529.56x = 628,400,539,357.91
  5. Step 5: Solve for x
    x = 628,400,539,357.91/587,529.56
  6. Step 6: Final answer
    x = 1,069,564.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.