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Finding the Third Proportional to 288,290 and 439,543

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Solution

The third proportional to 288,290 and 439,543 is: 670,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,290 : 439,543 = 439,543 : x
  2. Step 2: Convert to fraction form
    288,290/439,543 = 439,543/x
  3. Step 3: Cross multiply
    288,290x = 439,543 × 439,543
  4. Step 4: Simplify right side
    288,290x = 193,198,048,849
  5. Step 5: Solve for x
    x = 193,198,048,849/288,290
  6. Step 6: Final answer
    x = 670,151.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.