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Finding the Third Proportional to 541,032.75 and 844,301.81

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Solution

The third proportional to 541,032.75 and 844,301.81 is: 1,317,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,032.75 : 844,301.81 = 844,301.81 : x
  2. Step 2: Convert to fraction form
    541,032.75/844,301.81 = 844,301.81/x
  3. Step 3: Cross multiply
    541,032.75x = 844,301.81 × 844,301.81
  4. Step 4: Simplify right side
    541,032.75x = 712,845,550,590.79
  5. Step 5: Solve for x
    x = 712,845,550,590.79/541,032.75
  6. Step 6: Final answer
    x = 1,317,564.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.