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Finding the Third Proportional to 338,418 and 440,437.50

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Solution

The third proportional to 338,418 and 440,437.50 is: 573,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,418 : 440,437.50 = 440,437.50 : x
  2. Step 2: Convert to fraction form
    338,418/440,437.50 = 440,437.50/x
  3. Step 3: Cross multiply
    338,418x = 440,437.50 × 440,437.50
  4. Step 4: Simplify right side
    338,418x = 193,985,191,406.25
  5. Step 5: Solve for x
    x = 193,985,191,406.25/338,418
  6. Step 6: Final answer
    x = 573,211.80

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.