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Finding the Third Proportional to 308,215.13 and 662,357.25

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Solution

The third proportional to 308,215.13 and 662,357.25 is: 1,423,412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,215.13 : 662,357.25 = 662,357.25 : x
  2. Step 2: Convert to fraction form
    308,215.13/662,357.25 = 662,357.25/x
  3. Step 3: Cross multiply
    308,215.13x = 662,357.25 × 662,357.25
  4. Step 4: Simplify right side
    308,215.13x = 438,717,126,627.56
  5. Step 5: Solve for x
    x = 438,717,126,627.56/308,215.13
  6. Step 6: Final answer
    x = 1,423,412.06

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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.