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Finding the Third Proportional to 385,009.50 and 927,531

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Solution

The third proportional to 385,009.50 and 927,531 is: 2,234,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,009.50 : 927,531 = 927,531 : x
  2. Step 2: Convert to fraction form
    385,009.50/927,531 = 927,531/x
  3. Step 3: Cross multiply
    385,009.50x = 927,531 × 927,531
  4. Step 4: Simplify right side
    385,009.50x = 860,313,755,961
  5. Step 5: Solve for x
    x = 860,313,755,961/385,009.50
  6. Step 6: Final answer
    x = 2,234,526.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.