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Finding the Third Proportional to 207,414 and 448,040

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Solution

The third proportional to 207,414 and 448,040 is: 967,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,414 : 448,040 = 448,040 : x
  2. Step 2: Convert to fraction form
    207,414/448,040 = 448,040/x
  3. Step 3: Cross multiply
    207,414x = 448,040 × 448,040
  4. Step 4: Simplify right side
    207,414x = 200,739,841,600
  5. Step 5: Solve for x
    x = 200,739,841,600/207,414
  6. Step 6: Final answer
    x = 967,822.04

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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.