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Finding the Third Proportional to 234,859.50 and 523,506

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Solution

The third proportional to 234,859.50 and 523,506 is: 1,166,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,859.50 : 523,506 = 523,506 : x
  2. Step 2: Convert to fraction form
    234,859.50/523,506 = 523,506/x
  3. Step 3: Cross multiply
    234,859.50x = 523,506 × 523,506
  4. Step 4: Simplify right side
    234,859.50x = 274,058,532,036
  5. Step 5: Solve for x
    x = 274,058,532,036/234,859.50
  6. Step 6: Final answer
    x = 1,166,904.18

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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.