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Finding the Third Proportional to 577,003.50 and 1,255,596.19

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Solution

The third proportional to 577,003.50 and 1,255,596.19 is: 2,732,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,003.50 : 1,255,596.19 = 1,255,596.19 : x
  2. Step 2: Convert to fraction form
    577,003.50/1,255,596.19 = 1,255,596.19/x
  3. Step 3: Cross multiply
    577,003.50x = 1,255,596.19 × 1,255,596.19
  4. Step 4: Simplify right side
    577,003.50x = 1,576,521,786,064.54
  5. Step 5: Solve for x
    x = 1,576,521,786,064.54/577,003.50
  6. Step 6: Final answer
    x = 2,732,256.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.