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Finding the Third Proportional to 234,860.50 and 523,508

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Solution

The third proportional to 234,860.50 and 523,508 is: 1,166,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,860.50 : 523,508 = 523,508 : x
  2. Step 2: Convert to fraction form
    234,860.50/523,508 = 523,508/x
  3. Step 3: Cross multiply
    234,860.50x = 523,508 × 523,508
  4. Step 4: Simplify right side
    234,860.50x = 274,060,626,064
  5. Step 5: Solve for x
    x = 274,060,626,064/234,860.50
  6. Step 6: Final answer
    x = 1,166,908.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.