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Finding the Third Proportional to 250,728 and 536,421

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Solution

The third proportional to 250,728 and 536,421 is: 1,147,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,728 : 536,421 = 536,421 : x
  2. Step 2: Convert to fraction form
    250,728/536,421 = 536,421/x
  3. Step 3: Cross multiply
    250,728x = 536,421 × 536,421
  4. Step 4: Simplify right side
    250,728x = 287,747,489,241
  5. Step 5: Solve for x
    x = 287,747,489,241/250,728
  6. Step 6: Final answer
    x = 1,147,648.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.