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Finding the Third Proportional to 288,760.50 and 695,658

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Solution

The third proportional to 288,760.50 and 695,658 is: 1,675,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,760.50 : 695,658 = 695,658 : x
  2. Step 2: Convert to fraction form
    288,760.50/695,658 = 695,658/x
  3. Step 3: Cross multiply
    288,760.50x = 695,658 × 695,658
  4. Step 4: Simplify right side
    288,760.50x = 483,940,052,964
  5. Step 5: Solve for x
    x = 483,940,052,964/288,760.50
  6. Step 6: Final answer
    x = 1,675,921.92

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.