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Finding the Third Proportional to 207,692 and 454,690

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Solution

The third proportional to 207,692 and 454,690 is: 995,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,692 : 454,690 = 454,690 : x
  2. Step 2: Convert to fraction form
    207,692/454,690 = 454,690/x
  3. Step 3: Cross multiply
    207,692x = 454,690 × 454,690
  4. Step 4: Simplify right side
    207,692x = 206,742,996,100
  5. Step 5: Solve for x
    x = 206,742,996,100/207,692
  6. Step 6: Final answer
    x = 995,430.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.