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Finding the Third Proportional to 274,896 and 583,488

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Solution

The third proportional to 274,896 and 583,488 is: 1,238,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,896 : 583,488 = 583,488 : x
  2. Step 2: Convert to fraction form
    274,896/583,488 = 583,488/x
  3. Step 3: Cross multiply
    274,896x = 583,488 × 583,488
  4. Step 4: Simplify right side
    274,896x = 340,458,246,144
  5. Step 5: Solve for x
    x = 340,458,246,144/274,896
  6. Step 6: Final answer
    x = 1,238,498.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.