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Finding the Third Proportional to 301,875,264 and 451,008,175.50

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Solution

The third proportional to 301,875,264 and 451,008,175.50 is: 673,815,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,875,264 : 451,008,175.50 = 451,008,175.50 : x
  2. Step 2: Convert to fraction form
    301,875,264/451,008,175.50 = 451,008,175.50/x
  3. Step 3: Cross multiply
    301,875,264x = 451,008,175.50 × 451,008,175.50
  4. Step 4: Simplify right side
    301,875,264x = 203,408,374,367,838,816
  5. Step 5: Solve for x
    x = 203,408,374,367,838,816/301,875,264
  6. Step 6: Final answer
    x = 673,815,971.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.