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Finding the Third Proportional to 384,312 and 613,941

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Solution

The third proportional to 384,312 and 613,941 is: 980,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,312 : 613,941 = 613,941 : x
  2. Step 2: Convert to fraction form
    384,312/613,941 = 613,941/x
  3. Step 3: Cross multiply
    384,312x = 613,941 × 613,941
  4. Step 4: Simplify right side
    384,312x = 376,923,551,481
  5. Step 5: Solve for x
    x = 376,923,551,481/384,312
  6. Step 6: Final answer
    x = 980,774.87

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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.