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Finding the Third Proportional to 701,306 and 992,343

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Solution

The third proportional to 701,306 and 992,343 is: 1,404,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,306 : 992,343 = 992,343 : x
  2. Step 2: Convert to fraction form
    701,306/992,343 = 992,343/x
  3. Step 3: Cross multiply
    701,306x = 992,343 × 992,343
  4. Step 4: Simplify right side
    701,306x = 984,744,629,649
  5. Step 5: Solve for x
    x = 984,744,629,649/701,306
  6. Step 6: Final answer
    x = 1,404,158.28

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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.