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Finding the Third Proportional to 524,826 and 835,508

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Solution

The third proportional to 524,826 and 835,508 is: 1,330,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,826 : 835,508 = 835,508 : x
  2. Step 2: Convert to fraction form
    524,826/835,508 = 835,508/x
  3. Step 3: Cross multiply
    524,826x = 835,508 × 835,508
  4. Step 4: Simplify right side
    524,826x = 698,073,618,064
  5. Step 5: Solve for x
    x = 698,073,618,064/524,826
  6. Step 6: Final answer
    x = 1,330,104.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.