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Finding the Third Proportional to 266,027.63 and 583,792.31

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Solution

The third proportional to 266,027.63 and 583,792.31 is: 1,281,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,027.63 : 583,792.31 = 583,792.31 : x
  2. Step 2: Convert to fraction form
    266,027.63/583,792.31 = 583,792.31/x
  3. Step 3: Cross multiply
    266,027.63x = 583,792.31 × 583,792.31
  4. Step 4: Simplify right side
    266,027.63x = 340,813,464,134.10
  5. Step 5: Solve for x
    x = 340,813,464,134.10/266,027.63
  6. Step 6: Final answer
    x = 1,281,120.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.