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Finding the Third Proportional to 384,108.96 and 841,396.99

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Solution

The third proportional to 384,108.96 and 841,396.99 is: 1,843,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,108.96 : 841,396.99 = 841,396.99 : x
  2. Step 2: Convert to fraction form
    384,108.96/841,396.99 = 841,396.99/x
  3. Step 3: Cross multiply
    384,108.96x = 841,396.99 × 841,396.99
  4. Step 4: Simplify right side
    384,108.96x = 707,948,898,462.17
  5. Step 5: Solve for x
    x = 707,948,898,462.17/384,108.96
  6. Step 6: Final answer
    x = 1,843,093.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.