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Finding the Third Proportional to 308,059.50 and 661,953

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Solution

The third proportional to 308,059.50 and 661,953 is: 1,422,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,059.50 : 661,953 = 661,953 : x
  2. Step 2: Convert to fraction form
    308,059.50/661,953 = 661,953/x
  3. Step 3: Cross multiply
    308,059.50x = 661,953 × 661,953
  4. Step 4: Simplify right side
    308,059.50x = 438,181,774,209
  5. Step 5: Solve for x
    x = 438,181,774,209/308,059.50
  6. Step 6: Final answer
    x = 1,422,393.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.