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Finding the Third Proportional to 406,028 and 567,651

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Solution

The third proportional to 406,028 and 567,651 is: 793,609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,028 : 567,651 = 567,651 : x
  2. Step 2: Convert to fraction form
    406,028/567,651 = 567,651/x
  3. Step 3: Cross multiply
    406,028x = 567,651 × 567,651
  4. Step 4: Simplify right side
    406,028x = 322,227,657,801
  5. Step 5: Solve for x
    x = 322,227,657,801/406,028
  6. Step 6: Final answer
    x = 793,609.45

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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.