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Finding the Third Proportional to 380,927 and 793,382

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Solution

The third proportional to 380,927 and 793,382 is: 1,652,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,927 : 793,382 = 793,382 : x
  2. Step 2: Convert to fraction form
    380,927/793,382 = 793,382/x
  3. Step 3: Cross multiply
    380,927x = 793,382 × 793,382
  4. Step 4: Simplify right side
    380,927x = 629,454,997,924
  5. Step 5: Solve for x
    x = 629,454,997,924/380,927
  6. Step 6: Final answer
    x = 1,652,429.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.