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Finding the Third Proportional to 387,375 and 843,342

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Solution

The third proportional to 387,375 and 843,342 is: 1,836,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,375 : 843,342 = 843,342 : x
  2. Step 2: Convert to fraction form
    387,375/843,342 = 843,342/x
  3. Step 3: Cross multiply
    387,375x = 843,342 × 843,342
  4. Step 4: Simplify right side
    387,375x = 711,225,728,964
  5. Step 5: Solve for x
    x = 711,225,728,964/387,375
  6. Step 6: Final answer
    x = 1,836,013.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.