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Finding the Third Proportional to 435,757.50 and 660,156.75

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Solution

The third proportional to 435,757.50 and 660,156.75 is: 1,000,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,757.50 : 660,156.75 = 660,156.75 : x
  2. Step 2: Convert to fraction form
    435,757.50/660,156.75 = 660,156.75/x
  3. Step 3: Cross multiply
    435,757.50x = 660,156.75 × 660,156.75
  4. Step 4: Simplify right side
    435,757.50x = 435,806,934,570.56
  5. Step 5: Solve for x
    x = 435,806,934,570.56/435,757.50
  6. Step 6: Final answer
    x = 1,000,113.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.