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Finding the Third Proportional to 240,419 and 514,191

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Solution

The third proportional to 240,419 and 514,191 is: 1,099,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,419 : 514,191 = 514,191 : x
  2. Step 2: Convert to fraction form
    240,419/514,191 = 514,191/x
  3. Step 3: Cross multiply
    240,419x = 514,191 × 514,191
  4. Step 4: Simplify right side
    240,419x = 264,392,384,481
  5. Step 5: Solve for x
    x = 264,392,384,481/240,419
  6. Step 6: Final answer
    x = 1,099,715.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.