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Finding the Third Proportional to 288,159 and 462,991.50

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Solution

The third proportional to 288,159 and 462,991.50 is: 743,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,159 : 462,991.50 = 462,991.50 : x
  2. Step 2: Convert to fraction form
    288,159/462,991.50 = 462,991.50/x
  3. Step 3: Cross multiply
    288,159x = 462,991.50 × 462,991.50
  4. Step 4: Simplify right side
    288,159x = 214,361,129,072.25
  5. Step 5: Solve for x
    x = 214,361,129,072.25/288,159
  6. Step 6: Final answer
    x = 743,898.78

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.