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Finding the Third Proportional to 197,627.34 and 439,470.56

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Solution

The third proportional to 197,627.34 and 439,470.56 is: 977,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,627.34 : 439,470.56 = 439,470.56 : x
  2. Step 2: Convert to fraction form
    197,627.34/439,470.56 = 439,470.56/x
  3. Step 3: Cross multiply
    197,627.34x = 439,470.56 × 439,470.56
  4. Step 4: Simplify right side
    197,627.34x = 193,134,375,304.07
  5. Step 5: Solve for x
    x = 193,134,375,304.07/197,627.34
  6. Step 6: Final answer
    x = 977,265.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.