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Finding the Third Proportional to 463,473 and 620,761.50

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Solution

The third proportional to 463,473 and 620,761.50 is: 831,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,473 : 620,761.50 = 620,761.50 : x
  2. Step 2: Convert to fraction form
    463,473/620,761.50 = 620,761.50/x
  3. Step 3: Cross multiply
    463,473x = 620,761.50 × 620,761.50
  4. Step 4: Simplify right side
    463,473x = 385,344,839,882.25
  5. Step 5: Solve for x
    x = 385,344,839,882.25/463,473
  6. Step 6: Final answer
    x = 831,428.89

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.