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Finding the Third Proportional to 344,455 and 503,074

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Solution

The third proportional to 344,455 and 503,074 is: 734,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,455 : 503,074 = 503,074 : x
  2. Step 2: Convert to fraction form
    344,455/503,074 = 503,074/x
  3. Step 3: Cross multiply
    344,455x = 503,074 × 503,074
  4. Step 4: Simplify right side
    344,455x = 253,083,449,476
  5. Step 5: Solve for x
    x = 253,083,449,476/344,455
  6. Step 6: Final answer
    x = 734,735.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.