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Finding the Third Proportional to 209,202.47 and 457,383.38

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Solution

The third proportional to 209,202.47 and 457,383.38 is: 999,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,202.47 : 457,383.38 = 457,383.38 : x
  2. Step 2: Convert to fraction form
    209,202.47/457,383.38 = 457,383.38/x
  3. Step 3: Cross multiply
    209,202.47x = 457,383.38 × 457,383.38
  4. Step 4: Simplify right side
    209,202.47x = 209,199,551,726.39
  5. Step 5: Solve for x
    x = 209,199,551,726.39/209,202.47
  6. Step 6: Final answer
    x = 999,986.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.