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Finding the Third Proportional to 297,610 and 447,092

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Solution

The third proportional to 297,610 and 447,092 is: 671,655.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,610 : 447,092 = 447,092 : x
  2. Step 2: Convert to fraction form
    297,610/447,092 = 447,092/x
  3. Step 3: Cross multiply
    297,610x = 447,092 × 447,092
  4. Step 4: Simplify right side
    297,610x = 199,891,256,464
  5. Step 5: Solve for x
    x = 199,891,256,464/297,610
  6. Step 6: Final answer
    x = 671,655.04

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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.