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Finding the Third Proportional to 577,659 and 845,096

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Solution

The third proportional to 577,659 and 845,096 is: 1,236,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,659 : 845,096 = 845,096 : x
  2. Step 2: Convert to fraction form
    577,659/845,096 = 845,096/x
  3. Step 3: Cross multiply
    577,659x = 845,096 × 845,096
  4. Step 4: Simplify right side
    577,659x = 714,187,249,216
  5. Step 5: Solve for x
    x = 714,187,249,216/577,659
  6. Step 6: Final answer
    x = 1,236,347.48

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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.