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Finding the Third Proportional to 250,656 and 521,968

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Solution

The third proportional to 250,656 and 521,968 is: 1,086,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,656 : 521,968 = 521,968 : x
  2. Step 2: Convert to fraction form
    250,656/521,968 = 521,968/x
  3. Step 3: Cross multiply
    250,656x = 521,968 × 521,968
  4. Step 4: Simplify right side
    250,656x = 272,450,593,024
  5. Step 5: Solve for x
    x = 272,450,593,024/250,656
  6. Step 6: Final answer
    x = 1,086,950.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.