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Finding the Third Proportional to 292,066 and 322,786

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Solution

The third proportional to 292,066 and 322,786 is: 356,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,066 : 322,786 = 322,786 : x
  2. Step 2: Convert to fraction form
    292,066/322,786 = 322,786/x
  3. Step 3: Cross multiply
    292,066x = 322,786 × 322,786
  4. Step 4: Simplify right side
    292,066x = 104,190,801,796
  5. Step 5: Solve for x
    x = 104,190,801,796/292,066
  6. Step 6: Final answer
    x = 356,737.18

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.