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Finding the Third Proportional to 406,218 and 567,900

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Solution

The third proportional to 406,218 and 567,900 is: 793,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,218 : 567,900 = 567,900 : x
  2. Step 2: Convert to fraction form
    406,218/567,900 = 567,900/x
  3. Step 3: Cross multiply
    406,218x = 567,900 × 567,900
  4. Step 4: Simplify right side
    406,218x = 322,510,410,000
  5. Step 5: Solve for x
    x = 322,510,410,000/406,218
  6. Step 6: Final answer
    x = 793,934.32

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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.