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Finding the Third Proportional to 612.35 and 1,341.98

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Solution

The third proportional to 612.35 and 1,341.98 is: 2,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.35 : 1,341.98 = 1,341.98 : x
  2. Step 2: Convert to fraction form
    612.35/1,341.98 = 1,341.98/x
  3. Step 3: Cross multiply
    612.35x = 1,341.98 × 1,341.98
  4. Step 4: Simplify right side
    612.35x = 1,800,922.06
  5. Step 5: Solve for x
    x = 1,800,922.06/612.35
  6. Step 6: Final answer
    x = 2,940.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.