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Finding the Third Proportional to 543,105 and 759,651

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Solution

The third proportional to 543,105 and 759,651 is: 1,062,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,105 : 759,651 = 759,651 : x
  2. Step 2: Convert to fraction form
    543,105/759,651 = 759,651/x
  3. Step 3: Cross multiply
    543,105x = 759,651 × 759,651
  4. Step 4: Simplify right side
    543,105x = 577,069,641,801
  5. Step 5: Solve for x
    x = 577,069,641,801/543,105
  6. Step 6: Final answer
    x = 1,062,537.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.