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Finding the Third Proportional to 406,044 and 567,657

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Solution

The third proportional to 406,044 and 567,657 is: 793,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,044 : 567,657 = 567,657 : x
  2. Step 2: Convert to fraction form
    406,044/567,657 = 567,657/x
  3. Step 3: Cross multiply
    406,044x = 567,657 × 567,657
  4. Step 4: Simplify right side
    406,044x = 322,234,469,649
  5. Step 5: Solve for x
    x = 322,234,469,649/406,044
  6. Step 6: Final answer
    x = 793,594.95

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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.