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Finding the Third Proportional to 240,393 and 514,137

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Solution

The third proportional to 240,393 and 514,137 is: 1,099,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,393 : 514,137 = 514,137 : x
  2. Step 2: Convert to fraction form
    240,393/514,137 = 514,137/x
  3. Step 3: Cross multiply
    240,393x = 514,137 × 514,137
  4. Step 4: Simplify right side
    240,393x = 264,336,854,769
  5. Step 5: Solve for x
    x = 264,336,854,769/240,393
  6. Step 6: Final answer
    x = 1,099,602.96

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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.