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Finding the Third Proportional to 306,772 and 656,192

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Solution

The third proportional to 306,772 and 656,192 is: 1,403,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,772 : 656,192 = 656,192 : x
  2. Step 2: Convert to fraction form
    306,772/656,192 = 656,192/x
  3. Step 3: Cross multiply
    306,772x = 656,192 × 656,192
  4. Step 4: Simplify right side
    306,772x = 430,587,940,864
  5. Step 5: Solve for x
    x = 430,587,940,864/306,772
  6. Step 6: Final answer
    x = 1,403,609.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.