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Finding the Third Proportional to 248,725 and 532,909

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Solution

The third proportional to 248,725 and 532,909 is: 1,141,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,725 : 532,909 = 532,909 : x
  2. Step 2: Convert to fraction form
    248,725/532,909 = 532,909/x
  3. Step 3: Cross multiply
    248,725x = 532,909 × 532,909
  4. Step 4: Simplify right side
    248,725x = 283,992,002,281
  5. Step 5: Solve for x
    x = 283,992,002,281/248,725
  6. Step 6: Final answer
    x = 1,141,791.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.