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Finding the Third Proportional to 245,929.50 and 580,317.75

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Solution

The third proportional to 245,929.50 and 580,317.75 is: 1,369,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,929.50 : 580,317.75 = 580,317.75 : x
  2. Step 2: Convert to fraction form
    245,929.50/580,317.75 = 580,317.75/x
  3. Step 3: Cross multiply
    245,929.50x = 580,317.75 × 580,317.75
  4. Step 4: Simplify right side
    245,929.50x = 336,768,690,965.06
  5. Step 5: Solve for x
    x = 336,768,690,965.06/245,929.50
  6. Step 6: Final answer
    x = 1,369,370.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.