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Finding the Third Proportional to 391,276.13 and 824,584.50

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Solution

The third proportional to 391,276.13 and 824,584.50 is: 1,737,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,276.13 : 824,584.50 = 824,584.50 : x
  2. Step 2: Convert to fraction form
    391,276.13/824,584.50 = 824,584.50/x
  3. Step 3: Cross multiply
    391,276.13x = 824,584.50 × 824,584.50
  4. Step 4: Simplify right side
    391,276.13x = 679,939,597,640.25
  5. Step 5: Solve for x
    x = 679,939,597,640.25/391,276.13
  6. Step 6: Final answer
    x = 1,737,748.75

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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.