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Finding the Third Proportional to 273,004 and 413,326

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Solution

The third proportional to 273,004 and 413,326 is: 625,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,004 : 413,326 = 413,326 : x
  2. Step 2: Convert to fraction form
    273,004/413,326 = 413,326/x
  3. Step 3: Cross multiply
    273,004x = 413,326 × 413,326
  4. Step 4: Simplify right side
    273,004x = 170,838,382,276
  5. Step 5: Solve for x
    x = 170,838,382,276/273,004
  6. Step 6: Final answer
    x = 625,772.45

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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.