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Finding the Third Proportional to 541,001.63 and 844,256.25

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Solution

The third proportional to 541,001.63 and 844,256.25 is: 1,317,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,001.63 : 844,256.25 = 844,256.25 : x
  2. Step 2: Convert to fraction form
    541,001.63/844,256.25 = 844,256.25/x
  3. Step 3: Cross multiply
    541,001.63x = 844,256.25 × 844,256.25
  4. Step 4: Simplify right side
    541,001.63x = 712,768,615,664.06
  5. Step 5: Solve for x
    x = 712,768,615,664.06/541,001.63
  6. Step 6: Final answer
    x = 1,317,498.10

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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.