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Finding the Third Proportional to 457,912.13 and 673,147.13

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Solution

The third proportional to 457,912.13 and 673,147.13 is: 989,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,912.13 : 673,147.13 = 673,147.13 : x
  2. Step 2: Convert to fraction form
    457,912.13/673,147.13 = 673,147.13/x
  3. Step 3: Cross multiply
    457,912.13x = 673,147.13 × 673,147.13
  4. Step 4: Simplify right side
    457,912.13x = 453,127,051,895.77
  5. Step 5: Solve for x
    x = 453,127,051,895.77/457,912.13
  6. Step 6: Final answer
    x = 989,550.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.