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Finding the Third Proportional to 462,720 and 699,914

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Solution

The third proportional to 462,720 and 699,914 is: 1,058,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,720 : 699,914 = 699,914 : x
  2. Step 2: Convert to fraction form
    462,720/699,914 = 699,914/x
  3. Step 3: Cross multiply
    462,720x = 699,914 × 699,914
  4. Step 4: Simplify right side
    462,720x = 489,879,607,396
  5. Step 5: Solve for x
    x = 489,879,607,396/462,720
  6. Step 6: Final answer
    x = 1,058,695.56

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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.