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Finding the Third Proportional to 262,428.75 and 551,296.50

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Solution

The third proportional to 262,428.75 and 551,296.50 is: 1,158,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,428.75 : 551,296.50 = 551,296.50 : x
  2. Step 2: Convert to fraction form
    262,428.75/551,296.50 = 551,296.50/x
  3. Step 3: Cross multiply
    262,428.75x = 551,296.50 × 551,296.50
  4. Step 4: Simplify right side
    262,428.75x = 303,927,830,912.25
  5. Step 5: Solve for x
    x = 303,927,830,912.25/262,428.75
  6. Step 6: Final answer
    x = 1,158,134.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.