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Finding the Third Proportional to 274,128 and 584,448

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Solution

The third proportional to 274,128 and 584,448 is: 1,246,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,128 : 584,448 = 584,448 : x
  2. Step 2: Convert to fraction form
    274,128/584,448 = 584,448/x
  3. Step 3: Cross multiply
    274,128x = 584,448 × 584,448
  4. Step 4: Simplify right side
    274,128x = 341,579,464,704
  5. Step 5: Solve for x
    x = 341,579,464,704/274,128
  6. Step 6: Final answer
    x = 1,246,058.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.