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Finding the Third Proportional to 399,318 and 872,324

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Solution

The third proportional to 399,318 and 872,324 is: 1,905,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,318 : 872,324 = 872,324 : x
  2. Step 2: Convert to fraction form
    399,318/872,324 = 872,324/x
  3. Step 3: Cross multiply
    399,318x = 872,324 × 872,324
  4. Step 4: Simplify right side
    399,318x = 760,949,160,976
  5. Step 5: Solve for x
    x = 760,949,160,976/399,318
  6. Step 6: Final answer
    x = 1,905,621.99

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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.