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Finding the Third Proportional to 296,883 and 647,048

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Solution

The third proportional to 296,883 and 647,048 is: 1,410,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,883 : 647,048 = 647,048 : x
  2. Step 2: Convert to fraction form
    296,883/647,048 = 647,048/x
  3. Step 3: Cross multiply
    296,883x = 647,048 × 647,048
  4. Step 4: Simplify right side
    296,883x = 418,671,114,304
  5. Step 5: Solve for x
    x = 418,671,114,304/296,883
  6. Step 6: Final answer
    x = 1,410,222.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.