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Finding the Third Proportional to 207,747 and 455,022

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Solution

The third proportional to 207,747 and 455,022 is: 996,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,747 : 455,022 = 455,022 : x
  2. Step 2: Convert to fraction form
    207,747/455,022 = 455,022/x
  3. Step 3: Cross multiply
    207,747x = 455,022 × 455,022
  4. Step 4: Simplify right side
    207,747x = 207,045,020,484
  5. Step 5: Solve for x
    x = 207,045,020,484/207,747
  6. Step 6: Final answer
    x = 996,620.99

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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.