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Finding the Third Proportional to 701,348 and 992,394

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Solution

The third proportional to 701,348 and 992,394 is: 1,404,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,348 : 992,394 = 992,394 : x
  2. Step 2: Convert to fraction form
    701,348/992,394 = 992,394/x
  3. Step 3: Cross multiply
    701,348x = 992,394 × 992,394
  4. Step 4: Simplify right side
    701,348x = 984,845,851,236
  5. Step 5: Solve for x
    x = 984,845,851,236/701,348
  6. Step 6: Final answer
    x = 1,404,218.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.