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Finding the Third Proportional to 701,340 and 992,382

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Solution

The third proportional to 701,340 and 992,382 is: 1,404,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,340 : 992,382 = 992,382 : x
  2. Step 2: Convert to fraction form
    701,340/992,382 = 992,382/x
  3. Step 3: Cross multiply
    701,340x = 992,382 × 992,382
  4. Step 4: Simplify right side
    701,340x = 984,822,033,924
  5. Step 5: Solve for x
    x = 984,822,033,924/701,340
  6. Step 6: Final answer
    x = 1,404,200.58

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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.