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Finding the Third Proportional to 591,230.25 and 901,607.63

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Solution

The third proportional to 591,230.25 and 901,607.63 is: 1,374,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,230.25 : 901,607.63 = 901,607.63 : x
  2. Step 2: Convert to fraction form
    591,230.25/901,607.63 = 901,607.63/x
  3. Step 3: Cross multiply
    591,230.25x = 901,607.63 × 901,607.63
  4. Step 4: Simplify right side
    591,230.25x = 812,896,309,458.14
  5. Step 5: Solve for x
    x = 812,896,309,458.14/591,230.25
  6. Step 6: Final answer
    x = 1,374,923.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.