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Finding the Third Proportional to 425,182.50 and 659,304

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Solution

The third proportional to 425,182.50 and 659,304 is: 1,022,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,182.50 : 659,304 = 659,304 : x
  2. Step 2: Convert to fraction form
    425,182.50/659,304 = 659,304/x
  3. Step 3: Cross multiply
    425,182.50x = 659,304 × 659,304
  4. Step 4: Simplify right side
    425,182.50x = 434,681,764,416
  5. Step 5: Solve for x
    x = 434,681,764,416/425,182.50
  6. Step 6: Final answer
    x = 1,022,341.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.