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Finding the Third Proportional to 578,280 and 1,253,089.50

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Solution

The third proportional to 578,280 and 1,253,089.50 is: 2,715,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,280 : 1,253,089.50 = 1,253,089.50 : x
  2. Step 2: Convert to fraction form
    578,280/1,253,089.50 = 1,253,089.50/x
  3. Step 3: Cross multiply
    578,280x = 1,253,089.50 × 1,253,089.50
  4. Step 4: Simplify right side
    578,280x = 1,570,233,295,010.25
  5. Step 5: Solve for x
    x = 1,570,233,295,010.25/578,280
  6. Step 6: Final answer
    x = 2,715,351.21

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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.