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Finding the Third Proportional to 367,514 and 791,332

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Solution

The third proportional to 367,514 and 791,332 is: 1,703,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,514 : 791,332 = 791,332 : x
  2. Step 2: Convert to fraction form
    367,514/791,332 = 791,332/x
  3. Step 3: Cross multiply
    367,514x = 791,332 × 791,332
  4. Step 4: Simplify right side
    367,514x = 626,206,334,224
  5. Step 5: Solve for x
    x = 626,206,334,224/367,514
  6. Step 6: Final answer
    x = 1,703,897.90

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Why These Related Problems?

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