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Finding the Third Proportional to 587,508.19 and 792,687.94

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Solution

The third proportional to 587,508.19 and 792,687.94 is: 1,069,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,508.19 : 792,687.94 = 792,687.94 : x
  2. Step 2: Convert to fraction form
    587,508.19/792,687.94 = 792,687.94/x
  3. Step 3: Cross multiply
    587,508.19x = 792,687.94 × 792,687.94
  4. Step 4: Simplify right side
    587,508.19x = 628,354,166,258.00
  5. Step 5: Solve for x
    x = 628,354,166,258.00/587,508.19
  6. Step 6: Final answer
    x = 1,069,524.10

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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.