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Finding the Third Proportional to 226,381.50 and 523,570.50

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Solution

The third proportional to 226,381.50 and 523,570.50 is: 1,210,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,381.50 : 523,570.50 = 523,570.50 : x
  2. Step 2: Convert to fraction form
    226,381.50/523,570.50 = 523,570.50/x
  3. Step 3: Cross multiply
    226,381.50x = 523,570.50 × 523,570.50
  4. Step 4: Simplify right side
    226,381.50x = 274,126,068,470.25
  5. Step 5: Solve for x
    x = 274,126,068,470.25/226,381.50
  6. Step 6: Final answer
    x = 1,210,903.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.