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Finding the Third Proportional to 354,936 and 766,152

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Solution

The third proportional to 354,936 and 766,152 is: 1,653,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,936 : 766,152 = 766,152 : x
  2. Step 2: Convert to fraction form
    354,936/766,152 = 766,152/x
  3. Step 3: Cross multiply
    354,936x = 766,152 × 766,152
  4. Step 4: Simplify right side
    354,936x = 586,988,887,104
  5. Step 5: Solve for x
    x = 586,988,887,104/354,936
  6. Step 6: Final answer
    x = 1,653,787.97

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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.