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Finding the Third Proportional to 384,442.50 and 898,230

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Solution

The third proportional to 384,442.50 and 898,230 is: 2,098,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,442.50 : 898,230 = 898,230 : x
  2. Step 2: Convert to fraction form
    384,442.50/898,230 = 898,230/x
  3. Step 3: Cross multiply
    384,442.50x = 898,230 × 898,230
  4. Step 4: Simplify right side
    384,442.50x = 806,817,132,900
  5. Step 5: Solve for x
    x = 806,817,132,900/384,442.50
  6. Step 6: Final answer
    x = 2,098,667.90

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.