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Finding the Third Proportional to 268,488 and 376,284

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Solution

The third proportional to 268,488 and 376,284 is: 527,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,488 : 376,284 = 376,284 : x
  2. Step 2: Convert to fraction form
    268,488/376,284 = 376,284/x
  3. Step 3: Cross multiply
    268,488x = 376,284 × 376,284
  4. Step 4: Simplify right side
    268,488x = 141,589,648,656
  5. Step 5: Solve for x
    x = 141,589,648,656/268,488
  6. Step 6: Final answer
    x = 527,359.32

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.