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Finding the Third Proportional to 590,040.07 and 771,418.69

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Solution

The third proportional to 590,040.07 and 771,418.69 is: 1,008,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,040.07 : 771,418.69 = 771,418.69 : x
  2. Step 2: Convert to fraction form
    590,040.07/771,418.69 = 771,418.69/x
  3. Step 3: Cross multiply
    590,040.07x = 771,418.69 × 771,418.69
  4. Step 4: Simplify right side
    590,040.07x = 595,086,791,424.22
  5. Step 5: Solve for x
    x = 595,086,791,424.22/590,040.07
  6. Step 6: Final answer
    x = 1,008,553.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.