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Finding the Third Proportional to 577,730 and 892,819

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Solution

The third proportional to 577,730 and 892,819 is: 1,379,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,730 : 892,819 = 892,819 : x
  2. Step 2: Convert to fraction form
    577,730/892,819 = 892,819/x
  3. Step 3: Cross multiply
    577,730x = 892,819 × 892,819
  4. Step 4: Simplify right side
    577,730x = 797,125,766,761
  5. Step 5: Solve for x
    x = 797,125,766,761/577,730
  6. Step 6: Final answer
    x = 1,379,754.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.