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Finding the Third Proportional to 490,066 and 735,299

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Solution

The third proportional to 490,066 and 735,299 is: 1,103,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,066 : 735,299 = 735,299 : x
  2. Step 2: Convert to fraction form
    490,066/735,299 = 735,299/x
  3. Step 3: Cross multiply
    490,066x = 735,299 × 735,299
  4. Step 4: Simplify right side
    490,066x = 540,664,619,401
  5. Step 5: Solve for x
    x = 540,664,619,401/490,066
  6. Step 6: Final answer
    x = 1,103,248.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.