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Finding the Third Proportional to 577,739.25 and 845,214.75

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Solution

The third proportional to 577,739.25 and 845,214.75 is: 1,236,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,739.25 : 845,214.75 = 845,214.75 : x
  2. Step 2: Convert to fraction form
    577,739.25/845,214.75 = 845,214.75/x
  3. Step 3: Cross multiply
    577,739.25x = 845,214.75 × 845,214.75
  4. Step 4: Simplify right side
    577,739.25x = 714,387,973,617.56
  5. Step 5: Solve for x
    x = 714,387,973,617.56/577,739.25
  6. Step 6: Final answer
    x = 1,236,523.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.