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Finding the Third Proportional to 302,906.25 and 655,958.25

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Solution

The third proportional to 302,906.25 and 655,958.25 is: 1,420,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,906.25 : 655,958.25 = 655,958.25 : x
  2. Step 2: Convert to fraction form
    302,906.25/655,958.25 = 655,958.25/x
  3. Step 3: Cross multiply
    302,906.25x = 655,958.25 × 655,958.25
  4. Step 4: Simplify right side
    302,906.25x = 430,281,225,743.06
  5. Step 5: Solve for x
    x = 430,281,225,743.06/302,906.25
  6. Step 6: Final answer
    x = 1,420,509.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.