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Finding the Third Proportional to 403,982 and 614,738

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Solution

The third proportional to 403,982 and 614,738 is: 935,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,982 : 614,738 = 614,738 : x
  2. Step 2: Convert to fraction form
    403,982/614,738 = 614,738/x
  3. Step 3: Cross multiply
    403,982x = 614,738 × 614,738
  4. Step 4: Simplify right side
    403,982x = 377,902,808,644
  5. Step 5: Solve for x
    x = 377,902,808,644/403,982
  6. Step 6: Final answer
    x = 935,444.67

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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.