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Finding the Third Proportional to 589,504.50 and 834,317.06

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Solution

The third proportional to 589,504.50 and 834,317.06 is: 1,180,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,504.50 : 834,317.06 = 834,317.06 : x
  2. Step 2: Convert to fraction form
    589,504.50/834,317.06 = 834,317.06/x
  3. Step 3: Cross multiply
    589,504.50x = 834,317.06 × 834,317.06
  4. Step 4: Simplify right side
    589,504.50x = 696,084,960,778.63
  5. Step 5: Solve for x
    x = 696,084,960,778.63/589,504.50
  6. Step 6: Final answer
    x = 1,180,796.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.