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Finding the Third Proportional to 341,801 and 747,930

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Solution

The third proportional to 341,801 and 747,930 is: 1,636,622.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,801 : 747,930 = 747,930 : x
  2. Step 2: Convert to fraction form
    341,801/747,930 = 747,930/x
  3. Step 3: Cross multiply
    341,801x = 747,930 × 747,930
  4. Step 4: Simplify right side
    341,801x = 559,399,284,900
  5. Step 5: Solve for x
    x = 559,399,284,900/341,801
  6. Step 6: Final answer
    x = 1,636,622.73

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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.