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Finding the Third Proportional to 577,628 and 892,666

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Solution

The third proportional to 577,628 and 892,666 is: 1,379,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,628 : 892,666 = 892,666 : x
  2. Step 2: Convert to fraction form
    577,628/892,666 = 892,666/x
  3. Step 3: Cross multiply
    577,628x = 892,666 × 892,666
  4. Step 4: Simplify right side
    577,628x = 796,852,587,556
  5. Step 5: Solve for x
    x = 796,852,587,556/577,628
  6. Step 6: Final answer
    x = 1,379,525.56

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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.