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Finding the Third Proportional to 331,107 and 524,642

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Solution

The third proportional to 331,107 and 524,642 is: 831,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,107 : 524,642 = 524,642 : x
  2. Step 2: Convert to fraction form
    331,107/524,642 = 524,642/x
  3. Step 3: Cross multiply
    331,107x = 524,642 × 524,642
  4. Step 4: Simplify right side
    331,107x = 275,249,228,164
  5. Step 5: Solve for x
    x = 275,249,228,164/331,107
  6. Step 6: Final answer
    x = 831,299.94

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.