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Finding the Third Proportional to 336,306.09 and 510,687.28

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Solution

The third proportional to 336,306.09 and 510,687.28 is: 775,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,306.09 : 510,687.28 = 510,687.28 : x
  2. Step 2: Convert to fraction form
    336,306.09/510,687.28 = 510,687.28/x
  3. Step 3: Cross multiply
    336,306.09x = 510,687.28 × 510,687.28
  4. Step 4: Simplify right side
    336,306.09x = 260,801,499,230.52
  5. Step 5: Solve for x
    x = 260,801,499,230.52/336,306.09
  6. Step 6: Final answer
    x = 775,488.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.