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Finding the Third Proportional to 273,040 and 413,377

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Solution

The third proportional to 273,040 and 413,377 is: 625,844.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,040 : 413,377 = 413,377 : x
  2. Step 2: Convert to fraction form
    273,040/413,377 = 413,377/x
  3. Step 3: Cross multiply
    273,040x = 413,377 × 413,377
  4. Step 4: Simplify right side
    273,040x = 170,880,544,129
  5. Step 5: Solve for x
    x = 170,880,544,129/273,040
  6. Step 6: Final answer
    x = 625,844.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.