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Finding the Third Proportional to 689,331.50 and 1,514,735

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Solution

The third proportional to 689,331.50 and 1,514,735 is: 3,328,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,331.50 : 1,514,735 = 1,514,735 : x
  2. Step 2: Convert to fraction form
    689,331.50/1,514,735 = 1,514,735/x
  3. Step 3: Cross multiply
    689,331.50x = 1,514,735 × 1,514,735
  4. Step 4: Simplify right side
    689,331.50x = 2,294,422,120,225
  5. Step 5: Solve for x
    x = 2,294,422,120,225/689,331.50
  6. Step 6: Final answer
    x = 3,328,474.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.