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Finding the Third Proportional to 305,882 and 660,964

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Solution

The third proportional to 305,882 and 660,964 is: 1,428,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,882 : 660,964 = 660,964 : x
  2. Step 2: Convert to fraction form
    305,882/660,964 = 660,964/x
  3. Step 3: Cross multiply
    305,882x = 660,964 × 660,964
  4. Step 4: Simplify right side
    305,882x = 436,873,409,296
  5. Step 5: Solve for x
    x = 436,873,409,296/305,882
  6. Step 6: Final answer
    x = 1,428,241.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.