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Finding the Third Proportional to 733,596.75 and 1,514,335.50

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Solution

The third proportional to 733,596.75 and 1,514,335.50 is: 3,125,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,596.75 : 1,514,335.50 = 1,514,335.50 : x
  2. Step 2: Convert to fraction form
    733,596.75/1,514,335.50 = 1,514,335.50/x
  3. Step 3: Cross multiply
    733,596.75x = 1,514,335.50 × 1,514,335.50
  4. Step 4: Simplify right side
    733,596.75x = 2,293,212,006,560.25
  5. Step 5: Solve for x
    x = 2,293,212,006,560.25/733,596.75
  6. Step 6: Final answer
    x = 3,125,984.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.