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Finding the Third Proportional to 385,994 and 850,516

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Solution

The third proportional to 385,994 and 850,516 is: 1,874,064.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,994 : 850,516 = 850,516 : x
  2. Step 2: Convert to fraction form
    385,994/850,516 = 850,516/x
  3. Step 3: Cross multiply
    385,994x = 850,516 × 850,516
  4. Step 4: Simplify right side
    385,994x = 723,377,466,256
  5. Step 5: Solve for x
    x = 723,377,466,256/385,994
  6. Step 6: Final answer
    x = 1,874,064.02

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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.