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Finding the Third Proportional to 237,456 and 378,648

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Solution

The third proportional to 237,456 and 378,648 is: 603,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,456 : 378,648 = 378,648 : x
  2. Step 2: Convert to fraction form
    237,456/378,648 = 378,648/x
  3. Step 3: Cross multiply
    237,456x = 378,648 × 378,648
  4. Step 4: Simplify right side
    237,456x = 143,374,307,904
  5. Step 5: Solve for x
    x = 143,374,307,904/237,456
  6. Step 6: Final answer
    x = 603,793.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.