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Finding the Third Proportional to 442,851.75 and 624,054.75

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Solution

The third proportional to 442,851.75 and 624,054.75 is: 879,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,851.75 : 624,054.75 = 624,054.75 : x
  2. Step 2: Convert to fraction form
    442,851.75/624,054.75 = 624,054.75/x
  3. Step 3: Cross multiply
    442,851.75x = 624,054.75 × 624,054.75
  4. Step 4: Simplify right side
    442,851.75x = 389,444,330,997.56
  5. Step 5: Solve for x
    x = 389,444,330,997.56/442,851.75
  6. Step 6: Final answer
    x = 879,401.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.