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Finding the Third Proportional to 240,421 and 514,195

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Solution

The third proportional to 240,421 and 514,195 is: 1,099,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,421 : 514,195 = 514,195 : x
  2. Step 2: Convert to fraction form
    240,421/514,195 = 514,195/x
  3. Step 3: Cross multiply
    240,421x = 514,195 × 514,195
  4. Step 4: Simplify right side
    240,421x = 264,396,498,025
  5. Step 5: Solve for x
    x = 264,396,498,025/240,421
  6. Step 6: Final answer
    x = 1,099,722.98

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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.