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Finding the Third Proportional to 207,228 and 453,324

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Solution

The third proportional to 207,228 and 453,324 is: 991,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,228 : 453,324 = 453,324 : x
  2. Step 2: Convert to fraction form
    207,228/453,324 = 453,324/x
  3. Step 3: Cross multiply
    207,228x = 453,324 × 453,324
  4. Step 4: Simplify right side
    207,228x = 205,502,648,976
  5. Step 5: Solve for x
    x = 205,502,648,976/207,228
  6. Step 6: Final answer
    x = 991,674.14

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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.