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Finding the Third Proportional to 648,220.50 and 1,025,608.50

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Solution

The third proportional to 648,220.50 and 1,025,608.50 is: 1,622,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,220.50 : 1,025,608.50 = 1,025,608.50 : x
  2. Step 2: Convert to fraction form
    648,220.50/1,025,608.50 = 1,025,608.50/x
  3. Step 3: Cross multiply
    648,220.50x = 1,025,608.50 × 1,025,608.50
  4. Step 4: Simplify right side
    648,220.50x = 1,051,872,795,272.25
  5. Step 5: Solve for x
    x = 1,051,872,795,272.25/648,220.50
  6. Step 6: Final answer
    x = 1,622,708.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.