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Finding the Third Proportional to 234,853.88 and 523,495.13

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Solution

The third proportional to 234,853.88 and 523,495.13 is: 1,166,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,853.88 : 523,495.13 = 523,495.13 : x
  2. Step 2: Convert to fraction form
    234,853.88/523,495.13 = 523,495.13/x
  3. Step 3: Cross multiply
    234,853.88x = 523,495.13 × 523,495.13
  4. Step 4: Simplify right side
    234,853.88x = 274,047,145,898.77
  5. Step 5: Solve for x
    x = 274,047,145,898.77/234,853.88
  6. Step 6: Final answer
    x = 1,166,883.65

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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.