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Finding the Third Proportional to 537,992 and 791,412

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Solution

The third proportional to 537,992 and 791,412 is: 1,164,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,992 : 791,412 = 791,412 : x
  2. Step 2: Convert to fraction form
    537,992/791,412 = 791,412/x
  3. Step 3: Cross multiply
    537,992x = 791,412 × 791,412
  4. Step 4: Simplify right side
    537,992x = 626,332,953,744
  5. Step 5: Solve for x
    x = 626,332,953,744/537,992
  6. Step 6: Final answer
    x = 1,164,204.96

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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.