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Finding the Third Proportional to 425,232 and 639,769.50

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Solution

The third proportional to 425,232 and 639,769.50 is: 962,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,232 : 639,769.50 = 639,769.50 : x
  2. Step 2: Convert to fraction form
    425,232/639,769.50 = 639,769.50/x
  3. Step 3: Cross multiply
    425,232x = 639,769.50 × 639,769.50
  4. Step 4: Simplify right side
    425,232x = 409,305,013,130.25
  5. Step 5: Solve for x
    x = 409,305,013,130.25/425,232
  6. Step 6: Final answer
    x = 962,545.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.