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Finding the Third Proportional to 207,283.22 and 439,476.47

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Solution

The third proportional to 207,283.22 and 439,476.47 is: 931,766.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,283.22 : 439,476.47 = 439,476.47 : x
  2. Step 2: Convert to fraction form
    207,283.22/439,476.47 = 439,476.47/x
  3. Step 3: Cross multiply
    207,283.22x = 439,476.47 × 439,476.47
  4. Step 4: Simplify right side
    207,283.22x = 193,139,566,584.97
  5. Step 5: Solve for x
    x = 193,139,566,584.97/207,283.22
  6. Step 6: Final answer
    x = 931,766.54

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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.