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Finding the Third Proportional to 462,768 and 699,976

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Solution

The third proportional to 462,768 and 699,976 is: 1,058,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,768 : 699,976 = 699,976 : x
  2. Step 2: Convert to fraction form
    462,768/699,976 = 699,976/x
  3. Step 3: Cross multiply
    462,768x = 699,976 × 699,976
  4. Step 4: Simplify right side
    462,768x = 489,966,400,576
  5. Step 5: Solve for x
    x = 489,966,400,576/462,768
  6. Step 6: Final answer
    x = 1,058,773.30

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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.