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Finding the Third Proportional to 379,084 and 833,984

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Solution

The third proportional to 379,084 and 833,984 is: 1,834,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,084 : 833,984 = 833,984 : x
  2. Step 2: Convert to fraction form
    379,084/833,984 = 833,984/x
  3. Step 3: Cross multiply
    379,084x = 833,984 × 833,984
  4. Step 4: Simplify right side
    379,084x = 695,529,312,256
  5. Step 5: Solve for x
    x = 695,529,312,256/379,084
  6. Step 6: Final answer
    x = 1,834,763.04

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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.