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Finding the Third Proportional to 442,240 and 701,392

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Solution

The third proportional to 442,240 and 701,392 is: 1,112,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,240 : 701,392 = 701,392 : x
  2. Step 2: Convert to fraction form
    442,240/701,392 = 701,392/x
  3. Step 3: Cross multiply
    442,240x = 701,392 × 701,392
  4. Step 4: Simplify right side
    442,240x = 491,950,737,664
  5. Step 5: Solve for x
    x = 491,950,737,664/442,240
  6. Step 6: Final answer
    x = 1,112,406.70

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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.