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Finding the Third Proportional to 288,456.19 and 478,770.75

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Solution

The third proportional to 288,456.19 and 478,770.75 is: 794,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,456.19 : 478,770.75 = 478,770.75 : x
  2. Step 2: Convert to fraction form
    288,456.19/478,770.75 = 478,770.75/x
  3. Step 3: Cross multiply
    288,456.19x = 478,770.75 × 478,770.75
  4. Step 4: Simplify right side
    288,456.19x = 229,221,431,055.56
  5. Step 5: Solve for x
    x = 229,221,431,055.56/288,456.19
  6. Step 6: Final answer
    x = 794,649.04

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.