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Finding the Third Proportional to 306,726.75 and 421,134.19

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Solution

The third proportional to 306,726.75 and 421,134.19 is: 578,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,726.75 : 421,134.19 = 421,134.19 : x
  2. Step 2: Convert to fraction form
    306,726.75/421,134.19 = 421,134.19/x
  3. Step 3: Cross multiply
    306,726.75x = 421,134.19 × 421,134.19
  4. Step 4: Simplify right side
    306,726.75x = 177,354,003,881.29
  5. Step 5: Solve for x
    x = 177,354,003,881.29/306,726.75
  6. Step 6: Final answer
    x = 578,214.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.