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Finding the Third Proportional to 573,817.50 and 1,340,227.50

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Solution

The third proportional to 573,817.50 and 1,340,227.50 is: 3,130,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,817.50 : 1,340,227.50 = 1,340,227.50 : x
  2. Step 2: Convert to fraction form
    573,817.50/1,340,227.50 = 1,340,227.50/x
  3. Step 3: Cross multiply
    573,817.50x = 1,340,227.50 × 1,340,227.50
  4. Step 4: Simplify right side
    573,817.50x = 1,796,209,751,756.25
  5. Step 5: Solve for x
    x = 1,796,209,751,756.25/573,817.50
  6. Step 6: Final answer
    x = 3,130,280.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.