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Finding the Third Proportional to 262,080 and 624,084

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Solution

The third proportional to 262,080 and 624,084 is: 1,486,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,080 : 624,084 = 624,084 : x
  2. Step 2: Convert to fraction form
    262,080/624,084 = 624,084/x
  3. Step 3: Cross multiply
    262,080x = 624,084 × 624,084
  4. Step 4: Simplify right side
    262,080x = 389,480,839,056
  5. Step 5: Solve for x
    x = 389,480,839,056/262,080
  6. Step 6: Final answer
    x = 1,486,114.31

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.