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Finding the Third Proportional to 207,628.31 and 446,158.13

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Solution

The third proportional to 207,628.31 and 446,158.13 is: 958,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,628.31 : 446,158.13 = 446,158.13 : x
  2. Step 2: Convert to fraction form
    207,628.31/446,158.13 = 446,158.13/x
  3. Step 3: Cross multiply
    207,628.31x = 446,158.13 × 446,158.13
  4. Step 4: Simplify right side
    207,628.31x = 199,057,072,503.52
  5. Step 5: Solve for x
    x = 199,057,072,503.52/207,628.31
  6. Step 6: Final answer
    x = 958,718.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.