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Finding the Third Proportional to 551,534.06 and 866,644.31

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Solution

The third proportional to 551,534.06 and 866,644.31 is: 1,361,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,534.06 : 866,644.31 = 866,644.31 : x
  2. Step 2: Convert to fraction form
    551,534.06/866,644.31 = 866,644.31/x
  3. Step 3: Cross multiply
    551,534.06x = 866,644.31 × 866,644.31
  4. Step 4: Simplify right side
    551,534.06x = 751,072,364,388.60
  5. Step 5: Solve for x
    x = 751,072,364,388.60/551,534.06
  6. Step 6: Final answer
    x = 1,361,787.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.