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Finding the Third Proportional to 236,829 and 374,967

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Solution

The third proportional to 236,829 and 374,967 is: 593,678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,829 : 374,967 = 374,967 : x
  2. Step 2: Convert to fraction form
    236,829/374,967 = 374,967/x
  3. Step 3: Cross multiply
    236,829x = 374,967 × 374,967
  4. Step 4: Simplify right side
    236,829x = 140,600,251,089
  5. Step 5: Solve for x
    x = 140,600,251,089/236,829
  6. Step 6: Final answer
    x = 593,678.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.