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Finding the Third Proportional to 253,074 and 388,066

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Solution

The third proportional to 253,074 and 388,066 is: 595,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,074 : 388,066 = 388,066 : x
  2. Step 2: Convert to fraction form
    253,074/388,066 = 388,066/x
  3. Step 3: Cross multiply
    253,074x = 388,066 × 388,066
  4. Step 4: Simplify right side
    253,074x = 150,595,220,356
  5. Step 5: Solve for x
    x = 150,595,220,356/253,074
  6. Step 6: Final answer
    x = 595,063.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.