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Finding the Third Proportional to 379,064 and 824,558

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Solution

The third proportional to 379,064 and 824,558 is: 1,793,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,064 : 824,558 = 824,558 : x
  2. Step 2: Convert to fraction form
    379,064/824,558 = 824,558/x
  3. Step 3: Cross multiply
    379,064x = 824,558 × 824,558
  4. Step 4: Simplify right side
    379,064x = 679,895,895,364
  5. Step 5: Solve for x
    x = 679,895,895,364/379,064
  6. Step 6: Final answer
    x = 1,793,617.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.