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Finding the Third Proportional to 252,484 and 388,065

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Solution

The third proportional to 252,484 and 388,065 is: 596,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,484 : 388,065 = 388,065 : x
  2. Step 2: Convert to fraction form
    252,484/388,065 = 388,065/x
  3. Step 3: Cross multiply
    252,484x = 388,065 × 388,065
  4. Step 4: Simplify right side
    252,484x = 150,594,444,225
  5. Step 5: Solve for x
    x = 150,594,444,225/252,484
  6. Step 6: Final answer
    x = 596,451.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.