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Finding the Third Proportional to 253,908 and 601,550

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Solution

The third proportional to 253,908 and 601,550 is: 1,425,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,908 : 601,550 = 601,550 : x
  2. Step 2: Convert to fraction form
    253,908/601,550 = 601,550/x
  3. Step 3: Cross multiply
    253,908x = 601,550 × 601,550
  4. Step 4: Simplify right side
    253,908x = 361,862,402,500
  5. Step 5: Solve for x
    x = 361,862,402,500/253,908
  6. Step 6: Final answer
    x = 1,425,171.33

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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.