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Finding the Third Proportional to 302,893 and 660,799

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Solution

The third proportional to 302,893 and 660,799 is: 1,441,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,893 : 660,799 = 660,799 : x
  2. Step 2: Convert to fraction form
    302,893/660,799 = 660,799/x
  3. Step 3: Cross multiply
    302,893x = 660,799 × 660,799
  4. Step 4: Simplify right side
    302,893x = 436,655,318,401
  5. Step 5: Solve for x
    x = 436,655,318,401/302,893
  6. Step 6: Final answer
    x = 1,441,615.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.