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Finding the Third Proportional to 541,875 and 804,969

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Solution

The third proportional to 541,875 and 804,969 is: 1,195,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,875 : 804,969 = 804,969 : x
  2. Step 2: Convert to fraction form
    541,875/804,969 = 804,969/x
  3. Step 3: Cross multiply
    541,875x = 804,969 × 804,969
  4. Step 4: Simplify right side
    541,875x = 647,975,090,961
  5. Step 5: Solve for x
    x = 647,975,090,961/541,875
  6. Step 6: Final answer
    x = 1,195,801.78

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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.