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Finding the Third Proportional to 218,124 and 467,352

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Solution

The third proportional to 218,124 and 467,352 is: 1,001,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,124 : 467,352 = 467,352 : x
  2. Step 2: Convert to fraction form
    218,124/467,352 = 467,352/x
  3. Step 3: Cross multiply
    218,124x = 467,352 × 467,352
  4. Step 4: Simplify right side
    218,124x = 218,417,891,904
  5. Step 5: Solve for x
    x = 218,417,891,904/218,124
  6. Step 6: Final answer
    x = 1,001,347.36

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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.