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Finding the Third Proportional to 223,321.50 and 527,089.50

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Solution

The third proportional to 223,321.50 and 527,089.50 is: 1,244,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,321.50 : 527,089.50 = 527,089.50 : x
  2. Step 2: Convert to fraction form
    223,321.50/527,089.50 = 527,089.50/x
  3. Step 3: Cross multiply
    223,321.50x = 527,089.50 × 527,089.50
  4. Step 4: Simplify right side
    223,321.50x = 277,823,341,010.25
  5. Step 5: Solve for x
    x = 277,823,341,010.25/223,321.50
  6. Step 6: Final answer
    x = 1,244,051.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.