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Finding the Third Proportional to 308,093.63 and 662,023.13

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Solution

The third proportional to 308,093.63 and 662,023.13 is: 1,422,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,093.63 : 662,023.13 = 662,023.13 : x
  2. Step 2: Convert to fraction form
    308,093.63/662,023.13 = 662,023.13/x
  3. Step 3: Cross multiply
    308,093.63x = 662,023.13 × 662,023.13
  4. Step 4: Simplify right side
    308,093.63x = 438,274,618,034.77
  5. Step 5: Solve for x
    x = 438,274,618,034.77/308,093.63
  6. Step 6: Final answer
    x = 1,422,537.12

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Why These Related Problems?

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