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Finding the Third Proportional to 304,820 and 669,975

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Solution

The third proportional to 304,820 and 669,975 is: 1,472,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,820 : 669,975 = 669,975 : x
  2. Step 2: Convert to fraction form
    304,820/669,975 = 669,975/x
  3. Step 3: Cross multiply
    304,820x = 669,975 × 669,975
  4. Step 4: Simplify right side
    304,820x = 448,866,500,625
  5. Step 5: Solve for x
    x = 448,866,500,625/304,820
  6. Step 6: Final answer
    x = 1,472,562.50

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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.