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Finding the Third Proportional to 273,050 and 413,391

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Solution

The third proportional to 273,050 and 413,391 is: 625,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,050 : 413,391 = 413,391 : x
  2. Step 2: Convert to fraction form
    273,050/413,391 = 413,391/x
  3. Step 3: Cross multiply
    273,050x = 413,391 × 413,391
  4. Step 4: Simplify right side
    273,050x = 170,892,118,881
  5. Step 5: Solve for x
    x = 170,892,118,881/273,050
  6. Step 6: Final answer
    x = 625,863.83

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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.