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Finding the Third Proportional to 214,534 and 462,292

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Solution

The third proportional to 214,534 and 462,292 is: 996,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,534 : 462,292 = 462,292 : x
  2. Step 2: Convert to fraction form
    214,534/462,292 = 462,292/x
  3. Step 3: Cross multiply
    214,534x = 462,292 × 462,292
  4. Step 4: Simplify right side
    214,534x = 213,713,893,264
  5. Step 5: Solve for x
    x = 213,713,893,264/214,534
  6. Step 6: Final answer
    x = 996,177.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.