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Finding the Third Proportional to 218,397 and 447,379.50

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Solution

The third proportional to 218,397 and 447,379.50 is: 916,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,397 : 447,379.50 = 447,379.50 : x
  2. Step 2: Convert to fraction form
    218,397/447,379.50 = 447,379.50/x
  3. Step 3: Cross multiply
    218,397x = 447,379.50 × 447,379.50
  4. Step 4: Simplify right side
    218,397x = 200,148,417,020.25
  5. Step 5: Solve for x
    x = 200,148,417,020.25/218,397
  6. Step 6: Final answer
    x = 916,443.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.