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Finding the Third Proportional to 379,085 and 833,985

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Solution

The third proportional to 379,085 and 833,985 is: 1,834,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,085 : 833,985 = 833,985 : x
  2. Step 2: Convert to fraction form
    379,085/833,985 = 833,985/x
  3. Step 3: Cross multiply
    379,085x = 833,985 × 833,985
  4. Step 4: Simplify right side
    379,085x = 695,530,980,225
  5. Step 5: Solve for x
    x = 695,530,980,225/379,085
  6. Step 6: Final answer
    x = 1,834,762.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.