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Finding the Third Proportional to 391,222.41 and 824,476.22

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Solution

The third proportional to 391,222.41 and 824,476.22 is: 1,737,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,222.41 : 824,476.22 = 824,476.22 : x
  2. Step 2: Convert to fraction form
    391,222.41/824,476.22 = 824,476.22/x
  3. Step 3: Cross multiply
    391,222.41x = 824,476.22 × 824,476.22
  4. Step 4: Simplify right side
    391,222.41x = 679,761,035,284.30
  5. Step 5: Solve for x
    x = 679,761,035,284.30/391,222.41
  6. Step 6: Final answer
    x = 1,737,530.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.