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Finding the Third Proportional to 399,352 and 868,672

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Solution

The third proportional to 399,352 and 868,672 is: 1,889,538.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,352 : 868,672 = 868,672 : x
  2. Step 2: Convert to fraction form
    399,352/868,672 = 868,672/x
  3. Step 3: Cross multiply
    399,352x = 868,672 × 868,672
  4. Step 4: Simplify right side
    399,352x = 754,591,043,584
  5. Step 5: Solve for x
    x = 754,591,043,584/399,352
  6. Step 6: Final answer
    x = 1,889,538.66

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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.