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Finding the Third Proportional to 296,578 and 699,814

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Solution

The third proportional to 296,578 and 699,814 is: 1,651,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,578 : 699,814 = 699,814 : x
  2. Step 2: Convert to fraction form
    296,578/699,814 = 699,814/x
  3. Step 3: Cross multiply
    296,578x = 699,814 × 699,814
  4. Step 4: Simplify right side
    296,578x = 489,739,634,596
  5. Step 5: Solve for x
    x = 489,739,634,596/296,578
  6. Step 6: Final answer
    x = 1,651,301.29

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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.