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Finding the Third Proportional to 435,433.50 and 659,713.50

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Solution

The third proportional to 435,433.50 and 659,713.50 is: 999,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,433.50 : 659,713.50 = 659,713.50 : x
  2. Step 2: Convert to fraction form
    435,433.50/659,713.50 = 659,713.50/x
  3. Step 3: Cross multiply
    435,433.50x = 659,713.50 × 659,713.50
  4. Step 4: Simplify right side
    435,433.50x = 435,221,902,082.25
  5. Step 5: Solve for x
    x = 435,221,902,082.25/435,433.50
  6. Step 6: Final answer
    x = 999,514.05

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