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Finding the Third Proportional to 344,873 and 753,898

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Solution

The third proportional to 344,873 and 753,898 is: 1,648,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,873 : 753,898 = 753,898 : x
  2. Step 2: Convert to fraction form
    344,873/753,898 = 753,898/x
  3. Step 3: Cross multiply
    344,873x = 753,898 × 753,898
  4. Step 4: Simplify right side
    344,873x = 568,362,194,404
  5. Step 5: Solve for x
    x = 568,362,194,404/344,873
  6. Step 6: Final answer
    x = 1,648,033.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.