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Finding the Third Proportional to 298,272 and 447,648

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Solution

The third proportional to 298,272 and 447,648 is: 671,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,272 : 447,648 = 447,648 : x
  2. Step 2: Convert to fraction form
    298,272/447,648 = 447,648/x
  3. Step 3: Cross multiply
    298,272x = 447,648 × 447,648
  4. Step 4: Simplify right side
    298,272x = 200,388,731,904
  5. Step 5: Solve for x
    x = 200,388,731,904/298,272
  6. Step 6: Final answer
    x = 671,832.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.