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Finding the Third Proportional to 516,916 and 755,324

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Solution

The third proportional to 516,916 and 755,324 is: 1,103,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,916 : 755,324 = 755,324 : x
  2. Step 2: Convert to fraction form
    516,916/755,324 = 755,324/x
  3. Step 3: Cross multiply
    516,916x = 755,324 × 755,324
  4. Step 4: Simplify right side
    516,916x = 570,514,344,976
  5. Step 5: Solve for x
    x = 570,514,344,976/516,916
  6. Step 6: Final answer
    x = 1,103,688.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.