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Finding the Third Proportional to 288,738 and 609,066

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Solution

The third proportional to 288,738 and 609,066 is: 1,284,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,738 : 609,066 = 609,066 : x
  2. Step 2: Convert to fraction form
    288,738/609,066 = 609,066/x
  3. Step 3: Cross multiply
    288,738x = 609,066 × 609,066
  4. Step 4: Simplify right side
    288,738x = 370,961,392,356
  5. Step 5: Solve for x
    x = 370,961,392,356/288,738
  6. Step 6: Final answer
    x = 1,284,768.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.