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Finding the Third Proportional to 502,513.50 and 1,093,593

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Solution

The third proportional to 502,513.50 and 1,093,593 is: 2,379,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,513.50 : 1,093,593 = 1,093,593 : x
  2. Step 2: Convert to fraction form
    502,513.50/1,093,593 = 1,093,593/x
  3. Step 3: Cross multiply
    502,513.50x = 1,093,593 × 1,093,593
  4. Step 4: Simplify right side
    502,513.50x = 1,195,945,649,649
  5. Step 5: Solve for x
    x = 1,195,945,649,649/502,513.50
  6. Step 6: Final answer
    x = 2,379,927.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.