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Finding the Third Proportional to 233,614 and 502,766

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Solution

The third proportional to 233,614 and 502,766 is: 1,082,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,614 : 502,766 = 502,766 : x
  2. Step 2: Convert to fraction form
    233,614/502,766 = 502,766/x
  3. Step 3: Cross multiply
    233,614x = 502,766 × 502,766
  4. Step 4: Simplify right side
    233,614x = 252,773,650,756
  5. Step 5: Solve for x
    x = 252,773,650,756/233,614
  6. Step 6: Final answer
    x = 1,082,014.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.