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Finding the Third Proportional to 319,150 and 472,562

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Solution

The third proportional to 319,150 and 472,562 is: 699,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,150 : 472,562 = 472,562 : x
  2. Step 2: Convert to fraction form
    319,150/472,562 = 472,562/x
  3. Step 3: Cross multiply
    319,150x = 472,562 × 472,562
  4. Step 4: Simplify right side
    319,150x = 223,314,843,844
  5. Step 5: Solve for x
    x = 223,314,843,844/319,150
  6. Step 6: Final answer
    x = 699,717.51

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