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Finding the Third Proportional to 442,254 and 701,412

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Solution

The third proportional to 442,254 and 701,412 is: 1,112,434.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,254 : 701,412 = 701,412 : x
  2. Step 2: Convert to fraction form
    442,254/701,412 = 701,412/x
  3. Step 3: Cross multiply
    442,254x = 701,412 × 701,412
  4. Step 4: Simplify right side
    442,254x = 491,978,793,744
  5. Step 5: Solve for x
    x = 491,978,793,744/442,254
  6. Step 6: Final answer
    x = 1,112,434.92

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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.