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Finding the Third Proportional to 264,096.75 and 569,259.75

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Solution

The third proportional to 264,096.75 and 569,259.75 is: 1,227,037.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,096.75 : 569,259.75 = 569,259.75 : x
  2. Step 2: Convert to fraction form
    264,096.75/569,259.75 = 569,259.75/x
  3. Step 3: Cross multiply
    264,096.75x = 569,259.75 × 569,259.75
  4. Step 4: Simplify right side
    264,096.75x = 324,056,662,970.06
  5. Step 5: Solve for x
    x = 324,056,662,970.06/264,096.75
  6. Step 6: Final answer
    x = 1,227,037.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.