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Finding the Third Proportional to 296,750 and 628,816

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Solution

The third proportional to 296,750 and 628,816 is: 1,332,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,750 : 628,816 = 628,816 : x
  2. Step 2: Convert to fraction form
    296,750/628,816 = 628,816/x
  3. Step 3: Cross multiply
    296,750x = 628,816 × 628,816
  4. Step 4: Simplify right side
    296,750x = 395,409,561,856
  5. Step 5: Solve for x
    x = 395,409,561,856/296,750
  6. Step 6: Final answer
    x = 1,332,466.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.