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Finding the Third Proportional to 306,767 and 656,182

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Solution

The third proportional to 306,767 and 656,182 is: 1,403,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,767 : 656,182 = 656,182 : x
  2. Step 2: Convert to fraction form
    306,767/656,182 = 656,182/x
  3. Step 3: Cross multiply
    306,767x = 656,182 × 656,182
  4. Step 4: Simplify right side
    306,767x = 430,574,817,124
  5. Step 5: Solve for x
    x = 430,574,817,124/306,767
  6. Step 6: Final answer
    x = 1,403,589.10

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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.