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Finding the Third Proportional to 237,069 and 514,314

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Solution

The third proportional to 237,069 and 514,314 is: 1,115,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,069 : 514,314 = 514,314 : x
  2. Step 2: Convert to fraction form
    237,069/514,314 = 514,314/x
  3. Step 3: Cross multiply
    237,069x = 514,314 × 514,314
  4. Step 4: Simplify right side
    237,069x = 264,518,890,596
  5. Step 5: Solve for x
    x = 264,518,890,596/237,069
  6. Step 6: Final answer
    x = 1,115,788.61

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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.