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Finding the Third Proportional to 295,630 and 670,184

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Solution

The third proportional to 295,630 and 670,184 is: 1,519,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,630 : 670,184 = 670,184 : x
  2. Step 2: Convert to fraction form
    295,630/670,184 = 670,184/x
  3. Step 3: Cross multiply
    295,630x = 670,184 × 670,184
  4. Step 4: Simplify right side
    295,630x = 449,146,593,856
  5. Step 5: Solve for x
    x = 449,146,593,856/295,630
  6. Step 6: Final answer
    x = 1,519,286.25

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.