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Finding the Third Proportional to 334,916 and 722,308

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Solution

The third proportional to 334,916 and 722,308 is: 1,557,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,916 : 722,308 = 722,308 : x
  2. Step 2: Convert to fraction form
    334,916/722,308 = 722,308/x
  3. Step 3: Cross multiply
    334,916x = 722,308 × 722,308
  4. Step 4: Simplify right side
    334,916x = 521,728,846,864
  5. Step 5: Solve for x
    x = 521,728,846,864/334,916
  6. Step 6: Final answer
    x = 1,557,790.15

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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.