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Finding the Third Proportional to 331,156 and 524,598

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Solution

The third proportional to 331,156 and 524,598 is: 831,037.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,156 : 524,598 = 524,598 : x
  2. Step 2: Convert to fraction form
    331,156/524,598 = 524,598/x
  3. Step 3: Cross multiply
    331,156x = 524,598 × 524,598
  4. Step 4: Simplify right side
    331,156x = 275,203,061,604
  5. Step 5: Solve for x
    x = 275,203,061,604/331,156
  6. Step 6: Final answer
    x = 831,037.52

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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.