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Finding the Third Proportional to 306,377 and 665,059

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Solution

The third proportional to 306,377 and 665,059 is: 1,443,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,377 : 665,059 = 665,059 : x
  2. Step 2: Convert to fraction form
    306,377/665,059 = 665,059/x
  3. Step 3: Cross multiply
    306,377x = 665,059 × 665,059
  4. Step 4: Simplify right side
    306,377x = 442,303,473,481
  5. Step 5: Solve for x
    x = 442,303,473,481/306,377
  6. Step 6: Final answer
    x = 1,443,657.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.