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Finding the Third Proportional to 516,992 and 757,465

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Solution

The third proportional to 516,992 and 757,465 is: 1,109,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,992 : 757,465 = 757,465 : x
  2. Step 2: Convert to fraction form
    516,992/757,465 = 757,465/x
  3. Step 3: Cross multiply
    516,992x = 757,465 × 757,465
  4. Step 4: Simplify right side
    516,992x = 573,753,226,225
  5. Step 5: Solve for x
    x = 573,753,226,225/516,992
  6. Step 6: Final answer
    x = 1,109,791.30

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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.