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Finding the Third Proportional to 669,286.50 and 1,304,946

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Solution

The third proportional to 669,286.50 and 1,304,946 is: 2,544,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,286.50 : 1,304,946 = 1,304,946 : x
  2. Step 2: Convert to fraction form
    669,286.50/1,304,946 = 1,304,946/x
  3. Step 3: Cross multiply
    669,286.50x = 1,304,946 × 1,304,946
  4. Step 4: Simplify right side
    669,286.50x = 1,702,884,062,916
  5. Step 5: Solve for x
    x = 1,702,884,062,916/669,286.50
  6. Step 6: Final answer
    x = 2,544,327.52

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.