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Finding the Third Proportional to 302,871 and 655,895

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Solution

The third proportional to 302,871 and 655,895 is: 1,420,400.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871 : 655,895 = 655,895 : x
  2. Step 2: Convert to fraction form
    302,871/655,895 = 655,895/x
  3. Step 3: Cross multiply
    302,871x = 655,895 × 655,895
  4. Step 4: Simplify right side
    302,871x = 430,198,251,025
  5. Step 5: Solve for x
    x = 430,198,251,025/302,871
  6. Step 6: Final answer
    x = 1,420,400.93

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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.