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Finding the Third Proportional to 442,238 and 701,389

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Solution

The third proportional to 442,238 and 701,389 is: 1,112,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,238 : 701,389 = 701,389 : x
  2. Step 2: Convert to fraction form
    442,238/701,389 = 701,389/x
  3. Step 3: Cross multiply
    442,238x = 701,389 × 701,389
  4. Step 4: Simplify right side
    442,238x = 491,946,529,321
  5. Step 5: Solve for x
    x = 491,946,529,321/442,238
  6. Step 6: Final answer
    x = 1,112,402.21

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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.