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Finding the Third Proportional to 286,173 and 616,977

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Solution

The third proportional to 286,173 and 616,977 is: 1,330,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,173 : 616,977 = 616,977 : x
  2. Step 2: Convert to fraction form
    286,173/616,977 = 616,977/x
  3. Step 3: Cross multiply
    286,173x = 616,977 × 616,977
  4. Step 4: Simplify right side
    286,173x = 380,660,618,529
  5. Step 5: Solve for x
    x = 380,660,618,529/286,173
  6. Step 6: Final answer
    x = 1,330,176.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.