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Finding the Third Proportional to 493,063.50 and 739,593

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Solution

The third proportional to 493,063.50 and 739,593 is: 1,109,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,063.50 : 739,593 = 739,593 : x
  2. Step 2: Convert to fraction form
    493,063.50/739,593 = 739,593/x
  3. Step 3: Cross multiply
    493,063.50x = 739,593 × 739,593
  4. Step 4: Simplify right side
    493,063.50x = 546,997,805,649
  5. Step 5: Solve for x
    x = 546,997,805,649/493,063.50
  6. Step 6: Final answer
    x = 1,109,386.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.