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Finding the Third Proportional to 476,848 and 668,336

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Solution

The third proportional to 476,848 and 668,336 is: 936,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,848 : 668,336 = 668,336 : x
  2. Step 2: Convert to fraction form
    476,848/668,336 = 668,336/x
  3. Step 3: Cross multiply
    476,848x = 668,336 × 668,336
  4. Step 4: Simplify right side
    476,848x = 446,673,008,896
  5. Step 5: Solve for x
    x = 446,673,008,896/476,848
  6. Step 6: Final answer
    x = 936,719.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.