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Finding the Third Proportional to 303,340 and 653,192

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Solution

The third proportional to 303,340 and 653,192 is: 1,406,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,340 : 653,192 = 653,192 : x
  2. Step 2: Convert to fraction form
    303,340/653,192 = 653,192/x
  3. Step 3: Cross multiply
    303,340x = 653,192 × 653,192
  4. Step 4: Simplify right side
    303,340x = 426,659,788,864
  5. Step 5: Solve for x
    x = 426,659,788,864/303,340
  6. Step 6: Final answer
    x = 1,406,539.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.