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Finding the Third Proportional to 306,747 and 656,142

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Solution

The third proportional to 306,747 and 656,142 is: 1,403,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,747 : 656,142 = 656,142 : x
  2. Step 2: Convert to fraction form
    306,747/656,142 = 656,142/x
  3. Step 3: Cross multiply
    306,747x = 656,142 × 656,142
  4. Step 4: Simplify right side
    306,747x = 430,522,324,164
  5. Step 5: Solve for x
    x = 430,522,324,164/306,747
  6. Step 6: Final answer
    x = 1,403,509.49

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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.