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Finding the Third Proportional to 432,727.50 and 1,123,339.75

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Solution

The third proportional to 432,727.50 and 1,123,339.75 is: 2,916,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,727.50 : 1,123,339.75 = 1,123,339.75 : x
  2. Step 2: Convert to fraction form
    432,727.50/1,123,339.75 = 1,123,339.75/x
  3. Step 3: Cross multiply
    432,727.50x = 1,123,339.75 × 1,123,339.75
  4. Step 4: Simplify right side
    432,727.50x = 1,261,892,193,930.06
  5. Step 5: Solve for x
    x = 1,261,892,193,930.06/432,727.50
  6. Step 6: Final answer
    x = 2,916,135.89

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.