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Finding the Third Proportional to 240,360 and 377,037

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Solution

The third proportional to 240,360 and 377,037 is: 591,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,360 : 377,037 = 377,037 : x
  2. Step 2: Convert to fraction form
    240,360/377,037 = 377,037/x
  3. Step 3: Cross multiply
    240,360x = 377,037 × 377,037
  4. Step 4: Simplify right side
    240,360x = 142,156,899,369
  5. Step 5: Solve for x
    x = 142,156,899,369/240,360
  6. Step 6: Final answer
    x = 591,433.26

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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.