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Finding the Third Proportional to 362,238 and 532,242

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Solution

The third proportional to 362,238 and 532,242 is: 782,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,238 : 532,242 = 532,242 : x
  2. Step 2: Convert to fraction form
    362,238/532,242 = 532,242/x
  3. Step 3: Cross multiply
    362,238x = 532,242 × 532,242
  4. Step 4: Simplify right side
    362,238x = 283,281,546,564
  5. Step 5: Solve for x
    x = 283,281,546,564/362,238
  6. Step 6: Final answer
    x = 782,031.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.