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Finding the Third Proportional to 239,096 and 517,776

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Solution

The third proportional to 239,096 and 517,776 is: 1,121,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,096 : 517,776 = 517,776 : x
  2. Step 2: Convert to fraction form
    239,096/517,776 = 517,776/x
  3. Step 3: Cross multiply
    239,096x = 517,776 × 517,776
  4. Step 4: Simplify right side
    239,096x = 268,091,986,176
  5. Step 5: Solve for x
    x = 268,091,986,176/239,096
  6. Step 6: Final answer
    x = 1,121,273.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.