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Finding the Third Proportional to 442,236 and 701,386

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Solution

The third proportional to 442,236 and 701,386 is: 1,112,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,236 : 701,386 = 701,386 : x
  2. Step 2: Convert to fraction form
    442,236/701,386 = 701,386/x
  3. Step 3: Cross multiply
    442,236x = 701,386 × 701,386
  4. Step 4: Simplify right side
    442,236x = 491,942,320,996
  5. Step 5: Solve for x
    x = 491,942,320,996/442,236
  6. Step 6: Final answer
    x = 1,112,397.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.