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Finding the Third Proportional to 541,878 and 804,972

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Solution

The third proportional to 541,878 and 804,972 is: 1,195,804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,878 : 804,972 = 804,972 : x
  2. Step 2: Convert to fraction form
    541,878/804,972 = 804,972/x
  3. Step 3: Cross multiply
    541,878x = 804,972 × 804,972
  4. Step 4: Simplify right side
    541,878x = 647,979,920,784
  5. Step 5: Solve for x
    x = 647,979,920,784/541,878
  6. Step 6: Final answer
    x = 1,195,804.08

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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.