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Finding the Third Proportional to 582,404 and 913,788

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Solution

The third proportional to 582,404 and 913,788 is: 1,433,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,404 : 913,788 = 913,788 : x
  2. Step 2: Convert to fraction form
    582,404/913,788 = 913,788/x
  3. Step 3: Cross multiply
    582,404x = 913,788 × 913,788
  4. Step 4: Simplify right side
    582,404x = 835,008,508,944
  5. Step 5: Solve for x
    x = 835,008,508,944/582,404
  6. Step 6: Final answer
    x = 1,433,727.29

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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.