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Finding the Third Proportional to 399,892.50 and 854,865

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Solution

The third proportional to 399,892.50 and 854,865 is: 1,827,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,892.50 : 854,865 = 854,865 : x
  2. Step 2: Convert to fraction form
    399,892.50/854,865 = 854,865/x
  3. Step 3: Cross multiply
    399,892.50x = 854,865 × 854,865
  4. Step 4: Simplify right side
    399,892.50x = 730,794,168,225
  5. Step 5: Solve for x
    x = 730,794,168,225/399,892.50
  6. Step 6: Final answer
    x = 1,827,476.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.