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Finding the Third Proportional to 218,127 and 461,403.75

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Solution

The third proportional to 218,127 and 461,403.75 is: 976,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,127 : 461,403.75 = 461,403.75 : x
  2. Step 2: Convert to fraction form
    218,127/461,403.75 = 461,403.75/x
  3. Step 3: Cross multiply
    218,127x = 461,403.75 × 461,403.75
  4. Step 4: Simplify right side
    218,127x = 212,893,420,514.06
  5. Step 5: Solve for x
    x = 212,893,420,514.06/218,127
  6. Step 6: Final answer
    x = 976,006.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.