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Finding the Third Proportional to 541,874 and 804,967

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Solution

The third proportional to 541,874 and 804,967 is: 1,195,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,874 : 804,967 = 804,967 : x
  2. Step 2: Convert to fraction form
    541,874/804,967 = 804,967/x
  3. Step 3: Cross multiply
    541,874x = 804,967 × 804,967
  4. Step 4: Simplify right side
    541,874x = 647,971,871,089
  5. Step 5: Solve for x
    x = 647,971,871,089/541,874
  6. Step 6: Final answer
    x = 1,195,798.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.