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Finding the Third Proportional to 457,113.38 and 697,273.31

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Solution

The third proportional to 457,113.38 and 697,273.31 is: 1,063,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,113.38 : 697,273.31 = 697,273.31 : x
  2. Step 2: Convert to fraction form
    457,113.38/697,273.31 = 697,273.31/x
  3. Step 3: Cross multiply
    457,113.38x = 697,273.31 × 697,273.31
  4. Step 4: Simplify right side
    457,113.38x = 486,190,072,324.72
  5. Step 5: Solve for x
    x = 486,190,072,324.72/457,113.38
  6. Step 6: Final answer
    x = 1,063,609.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.