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Finding the Third Proportional to 320,952 and 448,678

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Solution

The third proportional to 320,952 and 448,678 is: 627,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,952 : 448,678 = 448,678 : x
  2. Step 2: Convert to fraction form
    320,952/448,678 = 448,678/x
  3. Step 3: Cross multiply
    320,952x = 448,678 × 448,678
  4. Step 4: Simplify right side
    320,952x = 201,311,947,684
  5. Step 5: Solve for x
    x = 201,311,947,684/320,952
  6. Step 6: Final answer
    x = 627,233.82

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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.