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Finding the Third Proportional to 304,620 and 669,972

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Solution

The third proportional to 304,620 and 669,972 is: 1,473,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,620 : 669,972 = 669,972 : x
  2. Step 2: Convert to fraction form
    304,620/669,972 = 669,972/x
  3. Step 3: Cross multiply
    304,620x = 669,972 × 669,972
  4. Step 4: Simplify right side
    304,620x = 448,862,480,784
  5. Step 5: Solve for x
    x = 448,862,480,784/304,620
  6. Step 6: Final answer
    x = 1,473,516.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.