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Finding the Third Proportional to 734,128 and 967,488

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Solution

The third proportional to 734,128 and 967,488 is: 1,275,027.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,128 : 967,488 = 967,488 : x
  2. Step 2: Convert to fraction form
    734,128/967,488 = 967,488/x
  3. Step 3: Cross multiply
    734,128x = 967,488 × 967,488
  4. Step 4: Simplify right side
    734,128x = 936,033,030,144
  5. Step 5: Solve for x
    x = 936,033,030,144/734,128
  6. Step 6: Final answer
    x = 1,275,027.01

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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.