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Finding the Third Proportional to 250,657 and 521,969

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Solution

The third proportional to 250,657 and 521,969 is: 1,086,950.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,657 : 521,969 = 521,969 : x
  2. Step 2: Convert to fraction form
    250,657/521,969 = 521,969/x
  3. Step 3: Cross multiply
    250,657x = 521,969 × 521,969
  4. Step 4: Simplify right side
    250,657x = 272,451,636,961
  5. Step 5: Solve for x
    x = 272,451,636,961/250,657
  6. Step 6: Final answer
    x = 1,086,950.04

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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.