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Finding the Third Proportional to 296,796 and 699,919.50

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Solution

The third proportional to 296,796 and 699,919.50 is: 1,650,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,796 : 699,919.50 = 699,919.50 : x
  2. Step 2: Convert to fraction form
    296,796/699,919.50 = 699,919.50/x
  3. Step 3: Cross multiply
    296,796x = 699,919.50 × 699,919.50
  4. Step 4: Simplify right side
    296,796x = 489,887,306,480.25
  5. Step 5: Solve for x
    x = 489,887,306,480.25/296,796
  6. Step 6: Final answer
    x = 1,650,585.95

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