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Finding the Third Proportional to 384,283 and 613,901

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Solution

The third proportional to 384,283 and 613,901 is: 980,721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,283 : 613,901 = 613,901 : x
  2. Step 2: Convert to fraction form
    384,283/613,901 = 613,901/x
  3. Step 3: Cross multiply
    384,283x = 613,901 × 613,901
  4. Step 4: Simplify right side
    384,283x = 376,874,437,801
  5. Step 5: Solve for x
    x = 376,874,437,801/384,283
  6. Step 6: Final answer
    x = 980,721.08

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.