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Finding the Third Proportional to 197,632.13 and 439,480.13

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Solution

The third proportional to 197,632.13 and 439,480.13 is: 977,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,632.13 : 439,480.13 = 439,480.13 : x
  2. Step 2: Convert to fraction form
    197,632.13/439,480.13 = 439,480.13/x
  3. Step 3: Cross multiply
    197,632.13x = 439,480.13 × 439,480.13
  4. Step 4: Simplify right side
    197,632.13x = 193,142,780,270.02
  5. Step 5: Solve for x
    x = 193,142,780,270.02/197,632.13
  6. Step 6: Final answer
    x = 977,284.34

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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.