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Finding the Third Proportional to 246,546 and 532,380

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Solution

The third proportional to 246,546 and 532,380 is: 1,149,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,546 : 532,380 = 532,380 : x
  2. Step 2: Convert to fraction form
    246,546/532,380 = 532,380/x
  3. Step 3: Cross multiply
    246,546x = 532,380 × 532,380
  4. Step 4: Simplify right side
    246,546x = 283,428,464,400
  5. Step 5: Solve for x
    x = 283,428,464,400/246,546
  6. Step 6: Final answer
    x = 1,149,596.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.