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Finding the Third Proportional to 541,637.63 and 838,221.75

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Solution

The third proportional to 541,637.63 and 838,221.75 is: 1,297,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,637.63 : 838,221.75 = 838,221.75 : x
  2. Step 2: Convert to fraction form
    541,637.63/838,221.75 = 838,221.75/x
  3. Step 3: Cross multiply
    541,637.63x = 838,221.75 × 838,221.75
  4. Step 4: Simplify right side
    541,637.63x = 702,615,702,173.06
  5. Step 5: Solve for x
    x = 702,615,702,173.06/541,637.63
  6. Step 6: Final answer
    x = 1,297,206.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.