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Finding the Third Proportional to 388,874 and 609,231

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Solution

The third proportional to 388,874 and 609,231 is: 954,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,874 : 609,231 = 609,231 : x
  2. Step 2: Convert to fraction form
    388,874/609,231 = 609,231/x
  3. Step 3: Cross multiply
    388,874x = 609,231 × 609,231
  4. Step 4: Simplify right side
    388,874x = 371,162,411,361
  5. Step 5: Solve for x
    x = 371,162,411,361/388,874
  6. Step 6: Final answer
    x = 954,454.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.