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Finding the Third Proportional to 207,920 and 448,986

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Solution

The third proportional to 207,920 and 448,986 is: 969,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,920 : 448,986 = 448,986 : x
  2. Step 2: Convert to fraction form
    207,920/448,986 = 448,986/x
  3. Step 3: Cross multiply
    207,920x = 448,986 × 448,986
  4. Step 4: Simplify right side
    207,920x = 201,588,428,196
  5. Step 5: Solve for x
    x = 201,588,428,196/207,920
  6. Step 6: Final answer
    x = 969,548.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.