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Finding the Third Proportional to 304,587 and 669,924

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Solution

The third proportional to 304,587 and 669,924 is: 1,473,464.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,587 : 669,924 = 669,924 : x
  2. Step 2: Convert to fraction form
    304,587/669,924 = 669,924/x
  3. Step 3: Cross multiply
    304,587x = 669,924 × 669,924
  4. Step 4: Simplify right side
    304,587x = 448,798,165,776
  5. Step 5: Solve for x
    x = 448,798,165,776/304,587
  6. Step 6: Final answer
    x = 1,473,464.61

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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.