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Finding the Third Proportional to 207,766 and 444,332

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Solution

The third proportional to 207,766 and 444,332 is: 950,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,766 : 444,332 = 444,332 : x
  2. Step 2: Convert to fraction form
    207,766/444,332 = 444,332/x
  3. Step 3: Cross multiply
    207,766x = 444,332 × 444,332
  4. Step 4: Simplify right side
    207,766x = 197,430,926,224
  5. Step 5: Solve for x
    x = 197,430,926,224/207,766
  6. Step 6: Final answer
    x = 950,256.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.