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Finding the Third Proportional to 253,887 and 601,503

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Solution

The third proportional to 253,887 and 601,503 is: 1,425,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,887 : 601,503 = 601,503 : x
  2. Step 2: Convert to fraction form
    253,887/601,503 = 601,503/x
  3. Step 3: Cross multiply
    253,887x = 601,503 × 601,503
  4. Step 4: Simplify right side
    253,887x = 361,805,859,009
  5. Step 5: Solve for x
    x = 361,805,859,009/253,887
  6. Step 6: Final answer
    x = 1,425,066.50

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.