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Finding the Third Proportional to 734,152 and 967,524

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Solution

The third proportional to 734,152 and 967,524 is: 1,275,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,152 : 967,524 = 967,524 : x
  2. Step 2: Convert to fraction form
    734,152/967,524 = 967,524/x
  3. Step 3: Cross multiply
    734,152x = 967,524 × 967,524
  4. Step 4: Simplify right side
    734,152x = 936,102,690,576
  5. Step 5: Solve for x
    x = 936,102,690,576/734,152
  6. Step 6: Final answer
    x = 1,275,080.22

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.