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Finding the Third Proportional to 313,176 and 665,232

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Solution

The third proportional to 313,176 and 665,232 is: 1,413,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,176 : 665,232 = 665,232 : x
  2. Step 2: Convert to fraction form
    313,176/665,232 = 665,232/x
  3. Step 3: Cross multiply
    313,176x = 665,232 × 665,232
  4. Step 4: Simplify right side
    313,176x = 442,533,613,824
  5. Step 5: Solve for x
    x = 442,533,613,824/313,176
  6. Step 6: Final answer
    x = 1,413,050.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.