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Finding the Third Proportional to 452,439 and 699,914

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Solution

The third proportional to 452,439 and 699,914 is: 1,082,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,439 : 699,914 = 699,914 : x
  2. Step 2: Convert to fraction form
    452,439/699,914 = 699,914/x
  3. Step 3: Cross multiply
    452,439x = 699,914 × 699,914
  4. Step 4: Simplify right side
    452,439x = 489,879,607,396
  5. Step 5: Solve for x
    x = 489,879,607,396/452,439
  6. Step 6: Final answer
    x = 1,082,752.83

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Why These Related Problems?

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