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Finding the Third Proportional to 262,305.84 and 572,027.06

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Solution

The third proportional to 262,305.84 and 572,027.06 is: 1,247,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,305.84 : 572,027.06 = 572,027.06 : x
  2. Step 2: Convert to fraction form
    262,305.84/572,027.06 = 572,027.06/x
  3. Step 3: Cross multiply
    262,305.84x = 572,027.06 × 572,027.06
  4. Step 4: Simplify right side
    262,305.84x = 327,214,960,232.38
  5. Step 5: Solve for x
    x = 327,214,960,232.38/262,305.84
  6. Step 6: Final answer
    x = 1,247,455.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.