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Finding the Third Proportional to 306,747.84 and 656,142.19

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Solution

The third proportional to 306,747.84 and 656,142.19 is: 1,403,506.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,747.84 : 656,142.19 = 656,142.19 : x
  2. Step 2: Convert to fraction form
    306,747.84/656,142.19 = 656,142.19/x
  3. Step 3: Cross multiply
    306,747.84x = 656,142.19 × 656,142.19
  4. Step 4: Simplify right side
    306,747.84x = 430,522,570,217.29
  5. Step 5: Solve for x
    x = 430,522,570,217.29/306,747.84
  6. Step 6: Final answer
    x = 1,403,506.43

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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.