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Finding the Third Proportional to 243,635 and 374,962

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Solution

The third proportional to 243,635 and 374,962 is: 577,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,635 : 374,962 = 374,962 : x
  2. Step 2: Convert to fraction form
    243,635/374,962 = 374,962/x
  3. Step 3: Cross multiply
    243,635x = 374,962 × 374,962
  4. Step 4: Simplify right side
    243,635x = 140,596,501,444
  5. Step 5: Solve for x
    x = 140,596,501,444/243,635
  6. Step 6: Final answer
    x = 577,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.