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Finding the Third Proportional to 248,749 and 584,693

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Solution

The third proportional to 248,749 and 584,693 is: 1,374,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,749 : 584,693 = 584,693 : x
  2. Step 2: Convert to fraction form
    248,749/584,693 = 584,693/x
  3. Step 3: Cross multiply
    248,749x = 584,693 × 584,693
  4. Step 4: Simplify right side
    248,749x = 341,865,904,249
  5. Step 5: Solve for x
    x = 341,865,904,249/248,749
  6. Step 6: Final answer
    x = 1,374,340.82

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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.