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Finding the Third Proportional to 524,328 and 790,788

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Solution

The third proportional to 524,328 and 790,788 is: 1,192,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,328 : 790,788 = 790,788 : x
  2. Step 2: Convert to fraction form
    524,328/790,788 = 790,788/x
  3. Step 3: Cross multiply
    524,328x = 790,788 × 790,788
  4. Step 4: Simplify right side
    524,328x = 625,345,660,944
  5. Step 5: Solve for x
    x = 625,345,660,944/524,328
  6. Step 6: Final answer
    x = 1,192,661.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.