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Finding the Third Proportional to 306,185 and 661,659

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Solution

The third proportional to 306,185 and 661,659 is: 1,429,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,185 : 661,659 = 661,659 : x
  2. Step 2: Convert to fraction form
    306,185/661,659 = 661,659/x
  3. Step 3: Cross multiply
    306,185x = 661,659 × 661,659
  4. Step 4: Simplify right side
    306,185x = 437,792,632,281
  5. Step 5: Solve for x
    x = 437,792,632,281/306,185
  6. Step 6: Final answer
    x = 1,429,830.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.