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Finding the Third Proportional to 565,727 and 1,231,083.50

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Solution

The third proportional to 565,727 and 1,231,083.50 is: 2,678,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,727 : 1,231,083.50 = 1,231,083.50 : x
  2. Step 2: Convert to fraction form
    565,727/1,231,083.50 = 1,231,083.50/x
  3. Step 3: Cross multiply
    565,727x = 1,231,083.50 × 1,231,083.50
  4. Step 4: Simplify right side
    565,727x = 1,515,566,583,972.25
  5. Step 5: Solve for x
    x = 1,515,566,583,972.25/565,727
  6. Step 6: Final answer
    x = 2,678,971.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.