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Finding the Third Proportional to 288,289.13 and 439,541.44

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Solution

The third proportional to 288,289.13 and 439,541.44 is: 670,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,289.13 : 439,541.44 = 439,541.44 : x
  2. Step 2: Convert to fraction form
    288,289.13/439,541.44 = 439,541.44/x
  3. Step 3: Cross multiply
    288,289.13x = 439,541.44 × 439,541.44
  4. Step 4: Simplify right side
    288,289.13x = 193,196,675,279.57
  5. Step 5: Solve for x
    x = 193,196,675,279.57/288,289.13
  6. Step 6: Final answer
    x = 670,149.02

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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.