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Finding the Third Proportional to 441,533 and 699,452.50

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Solution

The third proportional to 441,533 and 699,452.50 is: 1,108,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,533 : 699,452.50 = 699,452.50 : x
  2. Step 2: Convert to fraction form
    441,533/699,452.50 = 699,452.50/x
  3. Step 3: Cross multiply
    441,533x = 699,452.50 × 699,452.50
  4. Step 4: Simplify right side
    441,533x = 489,233,799,756.25
  5. Step 5: Solve for x
    x = 489,233,799,756.25/441,533
  6. Step 6: Final answer
    x = 1,108,034.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.