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Finding the Third Proportional to 577,322.44 and 894,002.06

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Solution

The third proportional to 577,322.44 and 894,002.06 is: 1,384,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,322.44 : 894,002.06 = 894,002.06 : x
  2. Step 2: Convert to fraction form
    577,322.44/894,002.06 = 894,002.06/x
  3. Step 3: Cross multiply
    577,322.44x = 894,002.06 × 894,002.06
  4. Step 4: Simplify right side
    577,322.44x = 799,239,687,754.25
  5. Step 5: Solve for x
    x = 799,239,687,754.25/577,322.44
  6. Step 6: Final answer
    x = 1,384,390.48

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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.