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Finding the Third Proportional to 636,725 and 963,285

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Solution

The third proportional to 636,725 and 963,285 is: 1,457,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,725 : 963,285 = 963,285 : x
  2. Step 2: Convert to fraction form
    636,725/963,285 = 963,285/x
  3. Step 3: Cross multiply
    636,725x = 963,285 × 963,285
  4. Step 4: Simplify right side
    636,725x = 927,917,991,225
  5. Step 5: Solve for x
    x = 927,917,991,225/636,725
  6. Step 6: Final answer
    x = 1,457,329.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.