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Finding the Third Proportional to 594,924 and 906,327

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Solution

The third proportional to 594,924 and 906,327 is: 1,380,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,924 : 906,327 = 906,327 : x
  2. Step 2: Convert to fraction form
    594,924/906,327 = 906,327/x
  3. Step 3: Cross multiply
    594,924x = 906,327 × 906,327
  4. Step 4: Simplify right side
    594,924x = 821,428,630,929
  5. Step 5: Solve for x
    x = 821,428,630,929/594,924
  6. Step 6: Final answer
    x = 1,380,728.68

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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.