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Finding the Third Proportional to 313,848 and 680,820

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Solution

The third proportional to 313,848 and 680,820 is: 1,476,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,848 : 680,820 = 680,820 : x
  2. Step 2: Convert to fraction form
    313,848/680,820 = 680,820/x
  3. Step 3: Cross multiply
    313,848x = 680,820 × 680,820
  4. Step 4: Simplify right side
    313,848x = 463,515,872,400
  5. Step 5: Solve for x
    x = 463,515,872,400/313,848
  6. Step 6: Final answer
    x = 1,476,880.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.