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Finding the Third Proportional to 240,739 and 520,024

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Solution

The third proportional to 240,739 and 520,024 is: 1,123,311.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,739 : 520,024 = 520,024 : x
  2. Step 2: Convert to fraction form
    240,739/520,024 = 520,024/x
  3. Step 3: Cross multiply
    240,739x = 520,024 × 520,024
  4. Step 4: Simplify right side
    240,739x = 270,424,960,576
  5. Step 5: Solve for x
    x = 270,424,960,576/240,739
  6. Step 6: Final answer
    x = 1,123,311.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.