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Finding the Third Proportional to 356,967 and 735,561

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Solution

The third proportional to 356,967 and 735,561 is: 1,515,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,967 : 735,561 = 735,561 : x
  2. Step 2: Convert to fraction form
    356,967/735,561 = 735,561/x
  3. Step 3: Cross multiply
    356,967x = 735,561 × 735,561
  4. Step 4: Simplify right side
    356,967x = 541,049,984,721
  5. Step 5: Solve for x
    x = 541,049,984,721/356,967
  6. Step 6: Final answer
    x = 1,515,686.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.