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Finding the Third Proportional to 306,862.17 and 666,840.09

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Solution

The third proportional to 306,862.17 and 666,840.09 is: 1,449,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,862.17 : 666,840.09 = 666,840.09 : x
  2. Step 2: Convert to fraction form
    306,862.17/666,840.09 = 666,840.09/x
  3. Step 3: Cross multiply
    306,862.17x = 666,840.09 × 666,840.09
  4. Step 4: Simplify right side
    306,862.17x = 444,675,710,632.51
  5. Step 5: Solve for x
    x = 444,675,710,632.51/306,862.17
  6. Step 6: Final answer
    x = 1,449,105.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.