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Finding the Third Proportional to 406,178.25 and 567,832.88

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Solution

The third proportional to 406,178.25 and 567,832.88 is: 793,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,178.25 : 567,832.88 = 567,832.88 : x
  2. Step 2: Convert to fraction form
    406,178.25/567,832.88 = 567,832.88/x
  3. Step 3: Cross multiply
    406,178.25x = 567,832.88 × 567,832.88
  4. Step 4: Simplify right side
    406,178.25x = 322,434,173,930.77
  5. Step 5: Solve for x
    x = 322,434,173,930.77/406,178.25
  6. Step 6: Final answer
    x = 793,824.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.