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Finding the Third Proportional to 296,664 and 653,844

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Solution

The third proportional to 296,664 and 653,844 is: 1,441,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,664 : 653,844 = 653,844 : x
  2. Step 2: Convert to fraction form
    296,664/653,844 = 653,844/x
  3. Step 3: Cross multiply
    296,664x = 653,844 × 653,844
  4. Step 4: Simplify right side
    296,664x = 427,511,976,336
  5. Step 5: Solve for x
    x = 427,511,976,336/296,664
  6. Step 6: Final answer
    x = 1,441,064.56

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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.