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Finding the Third Proportional to 395,425.13 and 598,682.81

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Solution

The third proportional to 395,425.13 and 598,682.81 is: 906,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,425.13 : 598,682.81 = 598,682.81 : x
  2. Step 2: Convert to fraction form
    395,425.13/598,682.81 = 598,682.81/x
  3. Step 3: Cross multiply
    395,425.13x = 598,682.81 × 598,682.81
  4. Step 4: Simplify right side
    395,425.13x = 358,421,109,982.91
  5. Step 5: Solve for x
    x = 358,421,109,982.91/395,425.13
  6. Step 6: Final answer
    x = 906,419.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.