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Finding the Third Proportional to 296,449.50 and 699,558

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Solution

The third proportional to 296,449.50 and 699,558 is: 1,650,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,449.50 : 699,558 = 699,558 : x
  2. Step 2: Convert to fraction form
    296,449.50/699,558 = 699,558/x
  3. Step 3: Cross multiply
    296,449.50x = 699,558 × 699,558
  4. Step 4: Simplify right side
    296,449.50x = 489,381,395,364
  5. Step 5: Solve for x
    x = 489,381,395,364/296,449.50
  6. Step 6: Final answer
    x = 1,650,808.64

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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.