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Finding the Third Proportional to 253,264 and 401,037

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Solution

The third proportional to 253,264 and 401,037 is: 635,031.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,264 : 401,037 = 401,037 : x
  2. Step 2: Convert to fraction form
    253,264/401,037 = 401,037/x
  3. Step 3: Cross multiply
    253,264x = 401,037 × 401,037
  4. Step 4: Simplify right side
    253,264x = 160,830,675,369
  5. Step 5: Solve for x
    x = 160,830,675,369/253,264
  6. Step 6: Final answer
    x = 635,031.73

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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.