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Finding the Third Proportional to 351,586 and 757,928

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Solution

The third proportional to 351,586 and 757,928 is: 1,633,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,586 : 757,928 = 757,928 : x
  2. Step 2: Convert to fraction form
    351,586/757,928 = 757,928/x
  3. Step 3: Cross multiply
    351,586x = 757,928 × 757,928
  4. Step 4: Simplify right side
    351,586x = 574,454,853,184
  5. Step 5: Solve for x
    x = 574,454,853,184/351,586
  6. Step 6: Final answer
    x = 1,633,895.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.