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Finding the Third Proportional to 372,157 and 807,327

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Solution

The third proportional to 372,157 and 807,327 is: 1,751,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,157 : 807,327 = 807,327 : x
  2. Step 2: Convert to fraction form
    372,157/807,327 = 807,327/x
  3. Step 3: Cross multiply
    372,157x = 807,327 × 807,327
  4. Step 4: Simplify right side
    372,157x = 651,776,884,929
  5. Step 5: Solve for x
    x = 651,776,884,929/372,157
  6. Step 6: Final answer
    x = 1,751,349.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.