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Finding the Third Proportional to 482,057.25 and 920,374.50

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Solution

The third proportional to 482,057.25 and 920,374.50 is: 1,757,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,057.25 : 920,374.50 = 920,374.50 : x
  2. Step 2: Convert to fraction form
    482,057.25/920,374.50 = 920,374.50/x
  3. Step 3: Cross multiply
    482,057.25x = 920,374.50 × 920,374.50
  4. Step 4: Simplify right side
    482,057.25x = 847,089,220,250.25
  5. Step 5: Solve for x
    x = 847,089,220,250.25/482,057.25
  6. Step 6: Final answer
    x = 1,757,237.80

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.