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Finding the Third Proportional to 218,038.50 and 467,597

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Solution

The third proportional to 218,038.50 and 467,597 is: 1,002,790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,038.50 : 467,597 = 467,597 : x
  2. Step 2: Convert to fraction form
    218,038.50/467,597 = 467,597/x
  3. Step 3: Cross multiply
    218,038.50x = 467,597 × 467,597
  4. Step 4: Simplify right side
    218,038.50x = 218,646,954,409
  5. Step 5: Solve for x
    x = 218,646,954,409/218,038.50
  6. Step 6: Final answer
    x = 1,002,790.58

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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.