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Finding the Third Proportional to 605,805.75 and 950,410.13

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Solution

The third proportional to 605,805.75 and 950,410.13 is: 1,491,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,805.75 : 950,410.13 = 950,410.13 : x
  2. Step 2: Convert to fraction form
    605,805.75/950,410.13 = 950,410.13/x
  3. Step 3: Cross multiply
    605,805.75x = 950,410.13 × 950,410.13
  4. Step 4: Simplify right side
    605,805.75x = 903,279,405,702.52
  5. Step 5: Solve for x
    x = 903,279,405,702.52/605,805.75
  6. Step 6: Final answer
    x = 1,491,038.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.