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Finding the Third Proportional to 539,968 and 806,976

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Solution

The third proportional to 539,968 and 806,976 is: 1,206,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,968 : 806,976 = 806,976 : x
  2. Step 2: Convert to fraction form
    539,968/806,976 = 806,976/x
  3. Step 3: Cross multiply
    539,968x = 806,976 × 806,976
  4. Step 4: Simplify right side
    539,968x = 651,210,264,576
  5. Step 5: Solve for x
    x = 651,210,264,576/539,968
  6. Step 6: Final answer
    x = 1,206,016.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.