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Finding the Third Proportional to 233,462 and 527,549

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Solution

The third proportional to 233,462 and 527,549 is: 1,192,090.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,462 : 527,549 = 527,549 : x
  2. Step 2: Convert to fraction form
    233,462/527,549 = 527,549/x
  3. Step 3: Cross multiply
    233,462x = 527,549 × 527,549
  4. Step 4: Simplify right side
    233,462x = 278,307,947,401
  5. Step 5: Solve for x
    x = 278,307,947,401/233,462
  6. Step 6: Final answer
    x = 1,192,090.99

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.