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Finding the Third Proportional to 245,001 and 367,503

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Solution

The third proportional to 245,001 and 367,503 is: 551,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,001 : 367,503 = 367,503 : x
  2. Step 2: Convert to fraction form
    245,001/367,503 = 367,503/x
  3. Step 3: Cross multiply
    245,001x = 367,503 × 367,503
  4. Step 4: Simplify right side
    245,001x = 135,058,455,009
  5. Step 5: Solve for x
    x = 135,058,455,009/245,001
  6. Step 6: Final answer
    x = 551,256.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.