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Finding the Third Proportional to 589,338.75 and 872,958.38

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Solution

The third proportional to 589,338.75 and 872,958.38 is: 1,293,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,338.75 : 872,958.38 = 872,958.38 : x
  2. Step 2: Convert to fraction form
    589,338.75/872,958.38 = 872,958.38/x
  3. Step 3: Cross multiply
    589,338.75x = 872,958.38 × 872,958.38
  4. Step 4: Simplify right side
    589,338.75x = 762,056,324,482.64
  5. Step 5: Solve for x
    x = 762,056,324,482.64/589,338.75
  6. Step 6: Final answer
    x = 1,293,070.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.