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Finding the Third Proportional to 296,698 and 653,904

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Solution

The third proportional to 296,698 and 653,904 is: 1,441,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,698 : 653,904 = 653,904 : x
  2. Step 2: Convert to fraction form
    296,698/653,904 = 653,904/x
  3. Step 3: Cross multiply
    296,698x = 653,904 × 653,904
  4. Step 4: Simplify right side
    296,698x = 427,590,441,216
  5. Step 5: Solve for x
    x = 427,590,441,216/296,698
  6. Step 6: Final answer
    x = 1,441,163.88

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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.