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Finding the Third Proportional to 240,378 and 373,677

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Solution

The third proportional to 240,378 and 373,677 is: 580,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,378 : 373,677 = 373,677 : x
  2. Step 2: Convert to fraction form
    240,378/373,677 = 373,677/x
  3. Step 3: Cross multiply
    240,378x = 373,677 × 373,677
  4. Step 4: Simplify right side
    240,378x = 139,634,500,329
  5. Step 5: Solve for x
    x = 139,634,500,329/240,378
  6. Step 6: Final answer
    x = 580,895.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.