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Finding the Third Proportional to 207,360 and 454,128

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Solution

The third proportional to 207,360 and 454,128 is: 994,561.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,360 : 454,128 = 454,128 : x
  2. Step 2: Convert to fraction form
    207,360/454,128 = 454,128/x
  3. Step 3: Cross multiply
    207,360x = 454,128 × 454,128
  4. Step 4: Simplify right side
    207,360x = 206,232,240,384
  5. Step 5: Solve for x
    x = 206,232,240,384/207,360
  6. Step 6: Final answer
    x = 994,561.34

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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.