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Finding the Third Proportional to 237,060 and 514,296

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Solution

The third proportional to 237,060 and 514,296 is: 1,115,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,060 : 514,296 = 514,296 : x
  2. Step 2: Convert to fraction form
    237,060/514,296 = 514,296/x
  3. Step 3: Cross multiply
    237,060x = 514,296 × 514,296
  4. Step 4: Simplify right side
    237,060x = 264,500,375,616
  5. Step 5: Solve for x
    x = 264,500,375,616/237,060
  6. Step 6: Final answer
    x = 1,115,752.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.