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Finding the Third Proportional to 387,877.50 and 853,515

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Solution

The third proportional to 387,877.50 and 853,515 is: 1,878,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,877.50 : 853,515 = 853,515 : x
  2. Step 2: Convert to fraction form
    387,877.50/853,515 = 853,515/x
  3. Step 3: Cross multiply
    387,877.50x = 853,515 × 853,515
  4. Step 4: Simplify right side
    387,877.50x = 728,487,855,225
  5. Step 5: Solve for x
    x = 728,487,855,225/387,877.50
  6. Step 6: Final answer
    x = 1,878,138.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.