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Finding the Third Proportional to 543,107 and 759,657

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Solution

The third proportional to 543,107 and 759,657 is: 1,062,550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,107 : 759,657 = 759,657 : x
  2. Step 2: Convert to fraction form
    543,107/759,657 = 759,657/x
  3. Step 3: Cross multiply
    543,107x = 759,657 × 759,657
  4. Step 4: Simplify right side
    543,107x = 577,078,757,649
  5. Step 5: Solve for x
    x = 577,078,757,649/543,107
  6. Step 6: Final answer
    x = 1,062,550.76

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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.