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Finding the Third Proportional to 296,785 and 699,896

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Solution

The third proportional to 296,785 and 699,896 is: 1,650,536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,785 : 699,896 = 699,896 : x
  2. Step 2: Convert to fraction form
    296,785/699,896 = 699,896/x
  3. Step 3: Cross multiply
    296,785x = 699,896 × 699,896
  4. Step 4: Simplify right side
    296,785x = 489,854,410,816
  5. Step 5: Solve for x
    x = 489,854,410,816/296,785
  6. Step 6: Final answer
    x = 1,650,536.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.