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Finding the Third Proportional to 635,272.50 and 954,327

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Solution

The third proportional to 635,272.50 and 954,327 is: 1,433,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,272.50 : 954,327 = 954,327 : x
  2. Step 2: Convert to fraction form
    635,272.50/954,327 = 954,327/x
  3. Step 3: Cross multiply
    635,272.50x = 954,327 × 954,327
  4. Step 4: Simplify right side
    635,272.50x = 910,740,022,929
  5. Step 5: Solve for x
    x = 910,740,022,929/635,272.50
  6. Step 6: Final answer
    x = 1,433,621.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.