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Finding the Third Proportional to 252,252 and 377,683

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Solution

The third proportional to 252,252 and 377,683 is: 565,483.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,252 : 377,683 = 377,683 : x
  2. Step 2: Convert to fraction form
    252,252/377,683 = 377,683/x
  3. Step 3: Cross multiply
    252,252x = 377,683 × 377,683
  4. Step 4: Simplify right side
    252,252x = 142,644,448,489
  5. Step 5: Solve for x
    x = 142,644,448,489/252,252
  6. Step 6: Final answer
    x = 565,483.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.