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Finding the Third Proportional to 273,026 and 413,355

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Solution

The third proportional to 273,026 and 413,355 is: 625,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,026 : 413,355 = 413,355 : x
  2. Step 2: Convert to fraction form
    273,026/413,355 = 413,355/x
  3. Step 3: Cross multiply
    273,026x = 413,355 × 413,355
  4. Step 4: Simplify right side
    273,026x = 170,862,356,025
  5. Step 5: Solve for x
    x = 170,862,356,025/273,026
  6. Step 6: Final answer
    x = 625,809.84

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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.