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Finding the Third Proportional to 339,400.13 and 503,228.25

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Solution

The third proportional to 339,400.13 and 503,228.25 is: 746,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,400.13 : 503,228.25 = 503,228.25 : x
  2. Step 2: Convert to fraction form
    339,400.13/503,228.25 = 503,228.25/x
  3. Step 3: Cross multiply
    339,400.13x = 503,228.25 × 503,228.25
  4. Step 4: Simplify right side
    339,400.13x = 253,238,671,598.06
  5. Step 5: Solve for x
    x = 253,238,671,598.06/339,400.13
  6. Step 6: Final answer
    x = 746,136.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.