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Finding the Third Proportional to 377,383 and 824,750

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Solution

The third proportional to 377,383 and 824,750 is: 1,802,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,383 : 824,750 = 824,750 : x
  2. Step 2: Convert to fraction form
    377,383/824,750 = 824,750/x
  3. Step 3: Cross multiply
    377,383x = 824,750 × 824,750
  4. Step 4: Simplify right side
    377,383x = 680,212,562,500
  5. Step 5: Solve for x
    x = 680,212,562,500/377,383
  6. Step 6: Final answer
    x = 1,802,446.22

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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.