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Finding the Third Proportional to 306,853.31 and 656,353.13

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Solution

The third proportional to 306,853.31 and 656,353.13 is: 1,403,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,853.31 : 656,353.13 = 656,353.13 : x
  2. Step 2: Convert to fraction form
    306,853.31/656,353.13 = 656,353.13/x
  3. Step 3: Cross multiply
    306,853.31x = 656,353.13 × 656,353.13
  4. Step 4: Simplify right side
    306,853.31x = 430,799,424,697.27
  5. Step 5: Solve for x
    x = 430,799,424,697.27/306,853.31
  6. Step 6: Final answer
    x = 1,403,926.26

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Why These Related Problems?

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