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Finding the Third Proportional to 462,735 and 699,930

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Solution

The third proportional to 462,735 and 699,930 is: 1,058,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,735 : 699,930 = 699,930 : x
  2. Step 2: Convert to fraction form
    462,735/699,930 = 699,930/x
  3. Step 3: Cross multiply
    462,735x = 699,930 × 699,930
  4. Step 4: Simplify right side
    462,735x = 489,902,004,900
  5. Step 5: Solve for x
    x = 489,902,004,900/462,735
  6. Step 6: Final answer
    x = 1,058,709.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.