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Finding the Third Proportional to 302,892 and 655,935

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Solution

The third proportional to 302,892 and 655,935 is: 1,420,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,892 : 655,935 = 655,935 : x
  2. Step 2: Convert to fraction form
    302,892/655,935 = 655,935/x
  3. Step 3: Cross multiply
    302,892x = 655,935 × 655,935
  4. Step 4: Simplify right side
    302,892x = 430,250,724,225
  5. Step 5: Solve for x
    x = 430,250,724,225/302,892
  6. Step 6: Final answer
    x = 1,420,475.70

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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.