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Finding the Third Proportional to 524,111 and 790,514

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Solution

The third proportional to 524,111 and 790,514 is: 1,192,328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,111 : 790,514 = 790,514 : x
  2. Step 2: Convert to fraction form
    524,111/790,514 = 790,514/x
  3. Step 3: Cross multiply
    524,111x = 790,514 × 790,514
  4. Step 4: Simplify right side
    524,111x = 624,912,384,196
  5. Step 5: Solve for x
    x = 624,912,384,196/524,111
  6. Step 6: Final answer
    x = 1,192,328.31

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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.