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Finding the Third Proportional to 368,488 and 521,488

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Solution

The third proportional to 368,488 and 521,488 is: 738,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,488 : 521,488 = 521,488 : x
  2. Step 2: Convert to fraction form
    368,488/521,488 = 521,488/x
  3. Step 3: Cross multiply
    368,488x = 521,488 × 521,488
  4. Step 4: Simplify right side
    368,488x = 271,949,734,144
  5. Step 5: Solve for x
    x = 271,949,734,144/368,488
  6. Step 6: Final answer
    x = 738,015.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.