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Finding the Third Proportional to 239,527.50 and 521,579.63

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Solution

The third proportional to 239,527.50 and 521,579.63 is: 1,135,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,527.50 : 521,579.63 = 521,579.63 : x
  2. Step 2: Convert to fraction form
    239,527.50/521,579.63 = 521,579.63/x
  3. Step 3: Cross multiply
    239,527.50x = 521,579.63 × 521,579.63
  4. Step 4: Simplify right side
    239,527.50x = 272,045,305,215.14
  5. Step 5: Solve for x
    x = 272,045,305,215.14/239,527.50
  6. Step 6: Final answer
    x = 1,135,758.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.