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Finding the Third Proportional to 551,428.50 and 1,194,463.50

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Solution

The third proportional to 551,428.50 and 1,194,463.50 is: 2,587,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,428.50 : 1,194,463.50 = 1,194,463.50 : x
  2. Step 2: Convert to fraction form
    551,428.50/1,194,463.50 = 1,194,463.50/x
  3. Step 3: Cross multiply
    551,428.50x = 1,194,463.50 × 1,194,463.50
  4. Step 4: Simplify right side
    551,428.50x = 1,426,743,052,832.25
  5. Step 5: Solve for x
    x = 1,426,743,052,832.25/551,428.50
  6. Step 6: Final answer
    x = 2,587,358.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.