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Finding the Third Proportional to 282,579 and 395,259.75

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Solution

The third proportional to 282,579 and 395,259.75 is: 552,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,579 : 395,259.75 = 395,259.75 : x
  2. Step 2: Convert to fraction form
    282,579/395,259.75 = 395,259.75/x
  3. Step 3: Cross multiply
    282,579x = 395,259.75 × 395,259.75
  4. Step 4: Simplify right side
    282,579x = 156,230,269,970.06
  5. Step 5: Solve for x
    x = 156,230,269,970.06/282,579
  6. Step 6: Final answer
    x = 552,872.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.