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Finding the Third Proportional to 508,832 and 791,264

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Solution

The third proportional to 508,832 and 791,264 is: 1,230,462.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,832 : 791,264 = 791,264 : x
  2. Step 2: Convert to fraction form
    508,832/791,264 = 791,264/x
  3. Step 3: Cross multiply
    508,832x = 791,264 × 791,264
  4. Step 4: Simplify right side
    508,832x = 626,098,717,696
  5. Step 5: Solve for x
    x = 626,098,717,696/508,832
  6. Step 6: Final answer
    x = 1,230,462.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.