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Finding the Third Proportional to 577,741 and 845,218

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Solution

The third proportional to 577,741 and 845,218 is: 1,236,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,741 : 845,218 = 845,218 : x
  2. Step 2: Convert to fraction form
    577,741/845,218 = 845,218/x
  3. Step 3: Cross multiply
    577,741x = 845,218 × 845,218
  4. Step 4: Simplify right side
    577,741x = 714,393,467,524
  5. Step 5: Solve for x
    x = 714,393,467,524/577,741
  6. Step 6: Final answer
    x = 1,236,528.94

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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.