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Finding the Third Proportional to 302,913.42 and 655,975.97

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Solution

The third proportional to 302,913.42 and 655,975.97 is: 1,420,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,913.42 : 655,975.97 = 655,975.97 : x
  2. Step 2: Convert to fraction form
    302,913.42/655,975.97 = 655,975.97/x
  3. Step 3: Cross multiply
    302,913.42x = 655,975.97 × 655,975.97
  4. Step 4: Simplify right side
    302,913.42x = 430,304,471,577.50
  5. Step 5: Solve for x
    x = 430,304,471,577.50/302,913.42
  6. Step 6: Final answer
    x = 1,420,552.67

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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.