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Finding the Third Proportional to 207,284.25 and 439,479

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Solution

The third proportional to 207,284.25 and 439,479 is: 931,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,284.25 : 439,479 = 439,479 : x
  2. Step 2: Convert to fraction form
    207,284.25/439,479 = 439,479/x
  3. Step 3: Cross multiply
    207,284.25x = 439,479 × 439,479
  4. Step 4: Simplify right side
    207,284.25x = 193,141,791,441
  5. Step 5: Solve for x
    x = 193,141,791,441/207,284.25
  6. Step 6: Final answer
    x = 931,772.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.