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Finding the Third Proportional to 209,654.50 and 460,495

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Solution

The third proportional to 209,654.50 and 460,495 is: 1,011,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,654.50 : 460,495 = 460,495 : x
  2. Step 2: Convert to fraction form
    209,654.50/460,495 = 460,495/x
  3. Step 3: Cross multiply
    209,654.50x = 460,495 × 460,495
  4. Step 4: Simplify right side
    209,654.50x = 212,055,645,025
  5. Step 5: Solve for x
    x = 212,055,645,025/209,654.50
  6. Step 6: Final answer
    x = 1,011,452.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.