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Finding the Third Proportional to 342,415 and 532,272

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Solution

The third proportional to 342,415 and 532,272 is: 827,397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,415 : 532,272 = 532,272 : x
  2. Step 2: Convert to fraction form
    342,415/532,272 = 532,272/x
  3. Step 3: Cross multiply
    342,415x = 532,272 × 532,272
  4. Step 4: Simplify right side
    342,415x = 283,313,481,984
  5. Step 5: Solve for x
    x = 283,313,481,984/342,415
  6. Step 6: Final answer
    x = 827,397.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.