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Finding the Third Proportional to 579,384.14 and 835,861.15

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Solution

The third proportional to 579,384.14 and 835,861.15 is: 1,205,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,384.14 : 835,861.15 = 835,861.15 : x
  2. Step 2: Convert to fraction form
    579,384.14/835,861.15 = 835,861.15/x
  3. Step 3: Cross multiply
    579,384.14x = 835,861.15 × 835,861.15
  4. Step 4: Simplify right side
    579,384.14x = 698,663,859,467.26
  5. Step 5: Solve for x
    x = 698,663,859,467.26/579,384.14
  6. Step 6: Final answer
    x = 1,205,873.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.