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Finding the Third Proportional to 516,285 and 759,233

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Solution

The third proportional to 516,285 and 759,233 is: 1,116,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,285 : 759,233 = 759,233 : x
  2. Step 2: Convert to fraction form
    516,285/759,233 = 759,233/x
  3. Step 3: Cross multiply
    516,285x = 759,233 × 759,233
  4. Step 4: Simplify right side
    516,285x = 576,434,748,289
  5. Step 5: Solve for x
    x = 576,434,748,289/516,285
  6. Step 6: Final answer
    x = 1,116,504.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.