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Finding the Third Proportional to 301,488 and 743,393

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Solution

The third proportional to 301,488 and 743,393 is: 1,833,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,488 : 743,393 = 743,393 : x
  2. Step 2: Convert to fraction form
    301,488/743,393 = 743,393/x
  3. Step 3: Cross multiply
    301,488x = 743,393 × 743,393
  4. Step 4: Simplify right side
    301,488x = 552,633,152,449
  5. Step 5: Solve for x
    x = 552,633,152,449/301,488
  6. Step 6: Final answer
    x = 1,833,018.74

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.