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Finding the Third Proportional to 218,018.50 and 467,559

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Solution

The third proportional to 218,018.50 and 467,559 is: 1,002,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,018.50 : 467,559 = 467,559 : x
  2. Step 2: Convert to fraction form
    218,018.50/467,559 = 467,559/x
  3. Step 3: Cross multiply
    218,018.50x = 467,559 × 467,559
  4. Step 4: Simplify right side
    218,018.50x = 218,611,418,481
  5. Step 5: Solve for x
    x = 218,611,418,481/218,018.50
  6. Step 6: Final answer
    x = 1,002,719.58

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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.