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Finding the Third Proportional to 273,024 and 413,352

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Solution

The third proportional to 273,024 and 413,352 is: 625,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,024 : 413,352 = 413,352 : x
  2. Step 2: Convert to fraction form
    273,024/413,352 = 413,352/x
  3. Step 3: Cross multiply
    273,024x = 413,352 × 413,352
  4. Step 4: Simplify right side
    273,024x = 170,859,875,904
  5. Step 5: Solve for x
    x = 170,859,875,904/273,024
  6. Step 6: Final answer
    x = 625,805.34

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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.