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Finding the Third Proportional to 240,419 and 373,754

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Solution

The third proportional to 240,419 and 373,754 is: 581,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,419 : 373,754 = 373,754 : x
  2. Step 2: Convert to fraction form
    240,419/373,754 = 373,754/x
  3. Step 3: Cross multiply
    240,419x = 373,754 × 373,754
  4. Step 4: Simplify right side
    240,419x = 139,692,052,516
  5. Step 5: Solve for x
    x = 139,692,052,516/240,419
  6. Step 6: Final answer
    x = 581,035.83

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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.