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Finding the Third Proportional to 207,944 and 455,376

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Solution

The third proportional to 207,944 and 455,376 is: 997,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,944 : 455,376 = 455,376 : x
  2. Step 2: Convert to fraction form
    207,944/455,376 = 455,376/x
  3. Step 3: Cross multiply
    207,944x = 455,376 × 455,376
  4. Step 4: Simplify right side
    207,944x = 207,367,301,376
  5. Step 5: Solve for x
    x = 207,367,301,376/207,944
  6. Step 6: Final answer
    x = 997,226.66

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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.