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Finding the Third Proportional to 435,424.50 and 659,700

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Solution

The third proportional to 435,424.50 and 659,700 is: 999,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,424.50 : 659,700 = 659,700 : x
  2. Step 2: Convert to fraction form
    435,424.50/659,700 = 659,700/x
  3. Step 3: Cross multiply
    435,424.50x = 659,700 × 659,700
  4. Step 4: Simplify right side
    435,424.50x = 435,204,090,000
  5. Step 5: Solve for x
    x = 435,204,090,000/435,424.50
  6. Step 6: Final answer
    x = 999,493.80

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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.