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Finding the Third Proportional to 207,084 and 448,020

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Solution

The third proportional to 207,084 and 448,020 is: 969,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,084 : 448,020 = 448,020 : x
  2. Step 2: Convert to fraction form
    207,084/448,020 = 448,020/x
  3. Step 3: Cross multiply
    207,084x = 448,020 × 448,020
  4. Step 4: Simplify right side
    207,084x = 200,721,920,400
  5. Step 5: Solve for x
    x = 200,721,920,400/207,084
  6. Step 6: Final answer
    x = 969,277.78

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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.