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Finding the Third Proportional to 306,732 and 656,112

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Solution

The third proportional to 306,732 and 656,112 is: 1,403,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,732 : 656,112 = 656,112 : x
  2. Step 2: Convert to fraction form
    306,732/656,112 = 656,112/x
  3. Step 3: Cross multiply
    306,732x = 656,112 × 656,112
  4. Step 4: Simplify right side
    306,732x = 430,482,956,544
  5. Step 5: Solve for x
    x = 430,482,956,544/306,732
  6. Step 6: Final answer
    x = 1,403,449.78

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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.