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Finding the Third Proportional to 385,012 and 927,539

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Solution

The third proportional to 385,012 and 927,539 is: 2,234,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,012 : 927,539 = 927,539 : x
  2. Step 2: Convert to fraction form
    385,012/927,539 = 927,539/x
  3. Step 3: Cross multiply
    385,012x = 927,539 × 927,539
  4. Step 4: Simplify right side
    385,012x = 860,328,596,521
  5. Step 5: Solve for x
    x = 860,328,596,521/385,012
  6. Step 6: Final answer
    x = 2,234,550.08

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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.