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Finding the Third Proportional to 331,034 and 701,792

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Solution

The third proportional to 331,034 and 701,792 is: 1,487,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,034 : 701,792 = 701,792 : x
  2. Step 2: Convert to fraction form
    331,034/701,792 = 701,792/x
  3. Step 3: Cross multiply
    331,034x = 701,792 × 701,792
  4. Step 4: Simplify right side
    331,034x = 492,512,011,264
  5. Step 5: Solve for x
    x = 492,512,011,264/331,034
  6. Step 6: Final answer
    x = 1,487,798.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.