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Finding the Third Proportional to 456,719.50 and 981,479

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Solution

The third proportional to 456,719.50 and 981,479 is: 2,109,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,719.50 : 981,479 = 981,479 : x
  2. Step 2: Convert to fraction form
    456,719.50/981,479 = 981,479/x
  3. Step 3: Cross multiply
    456,719.50x = 981,479 × 981,479
  4. Step 4: Simplify right side
    456,719.50x = 963,301,027,441
  5. Step 5: Solve for x
    x = 963,301,027,441/456,719.50
  6. Step 6: Final answer
    x = 2,109,174.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.