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Finding the Third Proportional to 362,279 and 532,334

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Solution

The third proportional to 362,279 and 532,334 is: 782,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,279 : 532,334 = 532,334 : x
  2. Step 2: Convert to fraction form
    362,279/532,334 = 532,334/x
  3. Step 3: Cross multiply
    362,279x = 532,334 × 532,334
  4. Step 4: Simplify right side
    362,279x = 283,379,487,556
  5. Step 5: Solve for x
    x = 283,379,487,556/362,279
  6. Step 6: Final answer
    x = 782,213.40

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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.