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Finding the Third Proportional to 543,110 and 759,661

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Solution

The third proportional to 543,110 and 759,661 is: 1,062,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,110 : 759,661 = 759,661 : x
  2. Step 2: Convert to fraction form
    543,110/759,661 = 759,661/x
  3. Step 3: Cross multiply
    543,110x = 759,661 × 759,661
  4. Step 4: Simplify right side
    543,110x = 577,084,834,921
  5. Step 5: Solve for x
    x = 577,084,834,921/543,110
  6. Step 6: Final answer
    x = 1,062,556.08

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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.