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Finding the Third Proportional to 435,462.75 and 659,758.50

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Solution

The third proportional to 435,462.75 and 659,758.50 is: 999,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,462.75 : 659,758.50 = 659,758.50 : x
  2. Step 2: Convert to fraction form
    435,462.75/659,758.50 = 659,758.50/x
  3. Step 3: Cross multiply
    435,462.75x = 659,758.50 × 659,758.50
  4. Step 4: Simplify right side
    435,462.75x = 435,281,278,322.25
  5. Step 5: Solve for x
    x = 435,281,278,322.25/435,462.75
  6. Step 6: Final answer
    x = 999,583.27

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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.