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Finding the Third Proportional to 240,898.50 and 523,302.75

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Solution

The third proportional to 240,898.50 and 523,302.75 is: 1,136,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,898.50 : 523,302.75 = 523,302.75 : x
  2. Step 2: Convert to fraction form
    240,898.50/523,302.75 = 523,302.75/x
  3. Step 3: Cross multiply
    240,898.50x = 523,302.75 × 523,302.75
  4. Step 4: Simplify right side
    240,898.50x = 273,845,768,157.56
  5. Step 5: Solve for x
    x = 273,845,768,157.56/240,898.50
  6. Step 6: Final answer
    x = 1,136,768.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.