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Finding the Third Proportional to 336,928 and 525,664

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Solution

The third proportional to 336,928 and 525,664 is: 820,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,928 : 525,664 = 525,664 : x
  2. Step 2: Convert to fraction form
    336,928/525,664 = 525,664/x
  3. Step 3: Cross multiply
    336,928x = 525,664 × 525,664
  4. Step 4: Simplify right side
    336,928x = 276,322,640,896
  5. Step 5: Solve for x
    x = 276,322,640,896/336,928
  6. Step 6: Final answer
    x = 820,123.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.