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Finding the Third Proportional to 419,762.25 and 918,256.50

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Solution

The third proportional to 419,762.25 and 918,256.50 is: 2,008,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,762.25 : 918,256.50 = 918,256.50 : x
  2. Step 2: Convert to fraction form
    419,762.25/918,256.50 = 918,256.50/x
  3. Step 3: Cross multiply
    419,762.25x = 918,256.50 × 918,256.50
  4. Step 4: Simplify right side
    419,762.25x = 843,194,999,792.25
  5. Step 5: Solve for x
    x = 843,194,999,792.25/419,762.25
  6. Step 6: Final answer
    x = 2,008,744.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.