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Finding the Third Proportional to 452,175 and 699,834.50

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Solution

The third proportional to 452,175 and 699,834.50 is: 1,083,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,175 : 699,834.50 = 699,834.50 : x
  2. Step 2: Convert to fraction form
    452,175/699,834.50 = 699,834.50/x
  3. Step 3: Cross multiply
    452,175x = 699,834.50 × 699,834.50
  4. Step 4: Simplify right side
    452,175x = 489,768,327,390.25
  5. Step 5: Solve for x
    x = 489,768,327,390.25/452,175
  6. Step 6: Final answer
    x = 1,083,138.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.