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Finding the Third Proportional to 299,925 and 650,698

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Solution

The third proportional to 299,925 and 650,698 is: 1,411,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,925 : 650,698 = 650,698 : x
  2. Step 2: Convert to fraction form
    299,925/650,698 = 650,698/x
  3. Step 3: Cross multiply
    299,925x = 650,698 × 650,698
  4. Step 4: Simplify right side
    299,925x = 423,407,887,204
  5. Step 5: Solve for x
    x = 423,407,887,204/299,925
  6. Step 6: Final answer
    x = 1,411,712.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.