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Finding the Third Proportional to 384,912 and 604,656

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Solution

The third proportional to 384,912 and 604,656 is: 949,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,912 : 604,656 = 604,656 : x
  2. Step 2: Convert to fraction form
    384,912/604,656 = 604,656/x
  3. Step 3: Cross multiply
    384,912x = 604,656 × 604,656
  4. Step 4: Simplify right side
    384,912x = 365,608,878,336
  5. Step 5: Solve for x
    x = 365,608,878,336/384,912
  6. Step 6: Final answer
    x = 949,850.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.