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Finding the Third Proportional to 207,813 and 454,506

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Solution

The third proportional to 207,813 and 454,506 is: 994,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,813 : 454,506 = 454,506 : x
  2. Step 2: Convert to fraction form
    207,813/454,506 = 454,506/x
  3. Step 3: Cross multiply
    207,813x = 454,506 × 454,506
  4. Step 4: Simplify right side
    207,813x = 206,575,704,036
  5. Step 5: Solve for x
    x = 206,575,704,036/207,813
  6. Step 6: Final answer
    x = 994,046.11

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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.