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Finding the Third Proportional to 498,762.25 and 773,874.32

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Solution

The third proportional to 498,762.25 and 773,874.32 is: 1,200,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,762.25 : 773,874.32 = 773,874.32 : x
  2. Step 2: Convert to fraction form
    498,762.25/773,874.32 = 773,874.32/x
  3. Step 3: Cross multiply
    498,762.25x = 773,874.32 × 773,874.32
  4. Step 4: Simplify right side
    498,762.25x = 598,881,457,593.24
  5. Step 5: Solve for x
    x = 598,881,457,593.24/498,762.25
  6. Step 6: Final answer
    x = 1,200,735.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.