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Finding the Third Proportional to 288,609 and 443,983.50

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Solution

The third proportional to 288,609 and 443,983.50 is: 683,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,609 : 443,983.50 = 443,983.50 : x
  2. Step 2: Convert to fraction form
    288,609/443,983.50 = 443,983.50/x
  3. Step 3: Cross multiply
    288,609x = 443,983.50 × 443,983.50
  4. Step 4: Simplify right side
    288,609x = 197,121,348,272.25
  5. Step 5: Solve for x
    x = 197,121,348,272.25/288,609
  6. Step 6: Final answer
    x = 683,004.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.