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Finding the Third Proportional to 240,024 and 518,556

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Solution

The third proportional to 240,024 and 518,556 is: 1,120,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,024 : 518,556 = 518,556 : x
  2. Step 2: Convert to fraction form
    240,024/518,556 = 518,556/x
  3. Step 3: Cross multiply
    240,024x = 518,556 × 518,556
  4. Step 4: Simplify right side
    240,024x = 268,900,325,136
  5. Step 5: Solve for x
    x = 268,900,325,136/240,024
  6. Step 6: Final answer
    x = 1,120,305.99

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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.