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Finding the Third Proportional to 435,588.75 and 659,949.19

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Solution

The third proportional to 435,588.75 and 659,949.19 is: 999,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,588.75 : 659,949.19 = 659,949.19 : x
  2. Step 2: Convert to fraction form
    435,588.75/659,949.19 = 659,949.19/x
  3. Step 3: Cross multiply
    435,588.75x = 659,949.19 × 659,949.19
  4. Step 4: Simplify right side
    435,588.75x = 435,532,930,081.91
  5. Step 5: Solve for x
    x = 435,532,930,081.91/435,588.75
  6. Step 6: Final answer
    x = 999,871.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.