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Finding the Third Proportional to 380,997 and 819,342

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Solution

The third proportional to 380,997 and 819,342 is: 1,762,012.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,997 : 819,342 = 819,342 : x
  2. Step 2: Convert to fraction form
    380,997/819,342 = 819,342/x
  3. Step 3: Cross multiply
    380,997x = 819,342 × 819,342
  4. Step 4: Simplify right side
    380,997x = 671,321,312,964
  5. Step 5: Solve for x
    x = 671,321,312,964/380,997
  6. Step 6: Final answer
    x = 1,762,012.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.