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Finding the Third Proportional to 240,351 and 377,022

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Solution

The third proportional to 240,351 and 377,022 is: 591,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,351 : 377,022 = 377,022 : x
  2. Step 2: Convert to fraction form
    240,351/377,022 = 377,022/x
  3. Step 3: Cross multiply
    240,351x = 377,022 × 377,022
  4. Step 4: Simplify right side
    240,351x = 142,145,588,484
  5. Step 5: Solve for x
    x = 142,145,588,484/240,351
  6. Step 6: Final answer
    x = 591,408.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.