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Finding the Third Proportional to 306,513.56 and 668,201.06

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Solution

The third proportional to 306,513.56 and 668,201.06 is: 1,456,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,513.56 : 668,201.06 = 668,201.06 : x
  2. Step 2: Convert to fraction form
    306,513.56/668,201.06 = 668,201.06/x
  3. Step 3: Cross multiply
    306,513.56x = 668,201.06 × 668,201.06
  4. Step 4: Simplify right side
    306,513.56x = 446,492,659,926.13
  5. Step 5: Solve for x
    x = 446,492,659,926.13/306,513.56
  6. Step 6: Final answer
    x = 1,456,681.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.