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Finding the Third Proportional to 304,044 and 647,460

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Solution

The third proportional to 304,044 and 647,460 is: 1,378,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,044 : 647,460 = 647,460 : x
  2. Step 2: Convert to fraction form
    304,044/647,460 = 647,460/x
  3. Step 3: Cross multiply
    304,044x = 647,460 × 647,460
  4. Step 4: Simplify right side
    304,044x = 419,204,451,600
  5. Step 5: Solve for x
    x = 419,204,451,600/304,044
  6. Step 6: Final answer
    x = 1,378,762.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.