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Finding the Third Proportional to 352,764 and 773,080

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Solution

The third proportional to 352,764 and 773,080 is: 1,694,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,764 : 773,080 = 773,080 : x
  2. Step 2: Convert to fraction form
    352,764/773,080 = 773,080/x
  3. Step 3: Cross multiply
    352,764x = 773,080 × 773,080
  4. Step 4: Simplify right side
    352,764x = 597,652,686,400
  5. Step 5: Solve for x
    x = 597,652,686,400/352,764
  6. Step 6: Final answer
    x = 1,694,199.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.