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Finding the Third Proportional to 325,288.41 and 704,879.72

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Solution

The third proportional to 325,288.41 and 704,879.72 is: 1,527,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,288.41 : 704,879.72 = 704,879.72 : x
  2. Step 2: Convert to fraction form
    325,288.41/704,879.72 = 704,879.72/x
  3. Step 3: Cross multiply
    325,288.41x = 704,879.72 × 704,879.72
  4. Step 4: Simplify right side
    325,288.41x = 496,855,417,905.08
  5. Step 5: Solve for x
    x = 496,855,417,905.08/325,288.41
  6. Step 6: Final answer
    x = 1,527,430.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.