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Finding the Third Proportional to 240,406 and 373,715

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Solution

The third proportional to 240,406 and 373,715 is: 580,945.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,406 : 373,715 = 373,715 : x
  2. Step 2: Convert to fraction form
    240,406/373,715 = 373,715/x
  3. Step 3: Cross multiply
    240,406x = 373,715 × 373,715
  4. Step 4: Simplify right side
    240,406x = 139,662,901,225
  5. Step 5: Solve for x
    x = 139,662,901,225/240,406
  6. Step 6: Final answer
    x = 580,945.99

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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.