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Finding the Third Proportional to 335,297 and 722,866

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Solution

The third proportional to 335,297 and 722,866 is: 1,558,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,297 : 722,866 = 722,866 : x
  2. Step 2: Convert to fraction form
    335,297/722,866 = 722,866/x
  3. Step 3: Cross multiply
    335,297x = 722,866 × 722,866
  4. Step 4: Simplify right side
    335,297x = 522,535,253,956
  5. Step 5: Solve for x
    x = 522,535,253,956/335,297
  6. Step 6: Final answer
    x = 1,558,425.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.