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Finding the Third Proportional to 296,463 and 648,285

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Solution

The third proportional to 296,463 and 648,285 is: 1,417,625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,463 : 648,285 = 648,285 : x
  2. Step 2: Convert to fraction form
    296,463/648,285 = 648,285/x
  3. Step 3: Cross multiply
    296,463x = 648,285 × 648,285
  4. Step 4: Simplify right side
    296,463x = 420,273,441,225
  5. Step 5: Solve for x
    x = 420,273,441,225/296,463
  6. Step 6: Final answer
    x = 1,417,625.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.