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Finding the Third Proportional to 763,078.31 and 1,588,950.94

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Solution

The third proportional to 763,078.31 and 1,588,950.94 is: 3,308,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,078.31 : 1,588,950.94 = 1,588,950.94 : x
  2. Step 2: Convert to fraction form
    763,078.31/1,588,950.94 = 1,588,950.94/x
  3. Step 3: Cross multiply
    763,078.31x = 1,588,950.94 × 1,588,950.94
  4. Step 4: Simplify right side
    763,078.31x = 2,524,765,081,782.13
  5. Step 5: Solve for x
    x = 2,524,765,081,782.13/763,078.31
  6. Step 6: Final answer
    x = 3,308,657.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.