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Finding the Third Proportional to 273,028 and 413,358

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Solution

The third proportional to 273,028 and 413,358 is: 625,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,028 : 413,358 = 413,358 : x
  2. Step 2: Convert to fraction form
    273,028/413,358 = 413,358/x
  3. Step 3: Cross multiply
    273,028x = 413,358 × 413,358
  4. Step 4: Simplify right side
    273,028x = 170,864,836,164
  5. Step 5: Solve for x
    x = 170,864,836,164/273,028
  6. Step 6: Final answer
    x = 625,814.33

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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.