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Finding the Third Proportional to 248,736 and 584,712

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Solution

The third proportional to 248,736 and 584,712 is: 1,374,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,736 : 584,712 = 584,712 : x
  2. Step 2: Convert to fraction form
    248,736/584,712 = 584,712/x
  3. Step 3: Cross multiply
    248,736x = 584,712 × 584,712
  4. Step 4: Simplify right side
    248,736x = 341,888,122,944
  5. Step 5: Solve for x
    x = 341,888,122,944/248,736
  6. Step 6: Final answer
    x = 1,374,501.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.