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Finding the Third Proportional to 207,702 and 451,854

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Solution

The third proportional to 207,702 and 451,854 is: 983,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,702 : 451,854 = 451,854 : x
  2. Step 2: Convert to fraction form
    207,702/451,854 = 451,854/x
  3. Step 3: Cross multiply
    207,702x = 451,854 × 451,854
  4. Step 4: Simplify right side
    207,702x = 204,172,037,316
  5. Step 5: Solve for x
    x = 204,172,037,316/207,702
  6. Step 6: Final answer
    x = 983,004.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.