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Finding the Third Proportional to 399,468 and 607,380

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Solution

The third proportional to 399,468 and 607,380 is: 923,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,468 : 607,380 = 607,380 : x
  2. Step 2: Convert to fraction form
    399,468/607,380 = 607,380/x
  3. Step 3: Cross multiply
    399,468x = 607,380 × 607,380
  4. Step 4: Simplify right side
    399,468x = 368,910,464,400
  5. Step 5: Solve for x
    x = 368,910,464,400/399,468
  6. Step 6: Final answer
    x = 923,504.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.