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Finding the Third Proportional to 644,712.75 and 700,002.75

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Solution

The third proportional to 644,712.75 and 700,002.75 is: 760,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,712.75 : 700,002.75 = 700,002.75 : x
  2. Step 2: Convert to fraction form
    644,712.75/700,002.75 = 700,002.75/x
  3. Step 3: Cross multiply
    644,712.75x = 700,002.75 × 700,002.75
  4. Step 4: Simplify right side
    644,712.75x = 490,003,850,007.56
  5. Step 5: Solve for x
    x = 490,003,850,007.56/644,712.75
  6. Step 6: Final answer
    x = 760,034.37

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.