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Finding the Third Proportional to 467,827.50 and 724,098

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Solution

The third proportional to 467,827.50 and 724,098 is: 1,120,750.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,827.50 : 724,098 = 724,098 : x
  2. Step 2: Convert to fraction form
    467,827.50/724,098 = 724,098/x
  3. Step 3: Cross multiply
    467,827.50x = 724,098 × 724,098
  4. Step 4: Simplify right side
    467,827.50x = 524,317,913,604
  5. Step 5: Solve for x
    x = 524,317,913,604/467,827.50
  6. Step 6: Final answer
    x = 1,120,750.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.