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Finding the Third Proportional to 401,244 and 589,562

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Solution

The third proportional to 401,244 and 589,562 is: 866,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,244 : 589,562 = 589,562 : x
  2. Step 2: Convert to fraction form
    401,244/589,562 = 589,562/x
  3. Step 3: Cross multiply
    401,244x = 589,562 × 589,562
  4. Step 4: Simplify right side
    401,244x = 347,583,351,844
  5. Step 5: Solve for x
    x = 347,583,351,844/401,244
  6. Step 6: Final answer
    x = 866,264.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.