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Finding the Third Proportional to 207,753 and 455,034

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Solution

The third proportional to 207,753 and 455,034 is: 996,644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,753 : 455,034 = 455,034 : x
  2. Step 2: Convert to fraction form
    207,753/455,034 = 455,034/x
  3. Step 3: Cross multiply
    207,753x = 455,034 × 455,034
  4. Step 4: Simplify right side
    207,753x = 207,055,941,156
  5. Step 5: Solve for x
    x = 207,055,941,156/207,753
  6. Step 6: Final answer
    x = 996,644.77

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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.