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Finding the Third Proportional to 598,421.25 and 919,775.25

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Solution

The third proportional to 598,421.25 and 919,775.25 is: 1,413,697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,421.25 : 919,775.25 = 919,775.25 : x
  2. Step 2: Convert to fraction form
    598,421.25/919,775.25 = 919,775.25/x
  3. Step 3: Cross multiply
    598,421.25x = 919,775.25 × 919,775.25
  4. Step 4: Simplify right side
    598,421.25x = 845,986,510,512.56
  5. Step 5: Solve for x
    x = 845,986,510,512.56/598,421.25
  6. Step 6: Final answer
    x = 1,413,697.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.