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Finding the Third Proportional to 238,294.13 and 523,814.63

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Solution

The third proportional to 238,294.13 and 523,814.63 is: 1,151,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,294.13 : 523,814.63 = 523,814.63 : x
  2. Step 2: Convert to fraction form
    238,294.13/523,814.63 = 523,814.63/x
  3. Step 3: Cross multiply
    238,294.13x = 523,814.63 × 523,814.63
  4. Step 4: Simplify right side
    238,294.13x = 274,381,761,363.89
  5. Step 5: Solve for x
    x = 274,381,761,363.89/238,294.13
  6. Step 6: Final answer
    x = 1,151,441.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.