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Finding the Third Proportional to 262,076 and 624,074

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Solution

The third proportional to 262,076 and 624,074 is: 1,486,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,076 : 624,074 = 624,074 : x
  2. Step 2: Convert to fraction form
    262,076/624,074 = 624,074/x
  3. Step 3: Cross multiply
    262,076x = 624,074 × 624,074
  4. Step 4: Simplify right side
    262,076x = 389,468,357,476
  5. Step 5: Solve for x
    x = 389,468,357,476/262,076
  6. Step 6: Final answer
    x = 1,486,089.37

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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.