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Finding the Third Proportional to 435,417.75 and 659,687.63

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Solution

The third proportional to 435,417.75 and 659,687.63 is: 999,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,417.75 : 659,687.63 = 659,687.63 : x
  2. Step 2: Convert to fraction form
    435,417.75/659,687.63 = 659,687.63/x
  3. Step 3: Cross multiply
    435,417.75x = 659,687.63 × 659,687.63
  4. Step 4: Simplify right side
    435,417.75x = 435,187,762,578.14
  5. Step 5: Solve for x
    x = 435,187,762,578.14/435,417.75
  6. Step 6: Final answer
    x = 999,471.80

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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.