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Finding the Third Proportional to 401,022 and 583,479

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Solution

The third proportional to 401,022 and 583,479 is: 848,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,022 : 583,479 = 583,479 : x
  2. Step 2: Convert to fraction form
    401,022/583,479 = 583,479/x
  3. Step 3: Cross multiply
    401,022x = 583,479 × 583,479
  4. Step 4: Simplify right side
    401,022x = 340,447,743,441
  5. Step 5: Solve for x
    x = 340,447,743,441/401,022
  6. Step 6: Final answer
    x = 848,950.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.