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Finding the Third Proportional to 292.36 and 603.70

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Solution

The third proportional to 292.36 and 603.70 is: 1,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.36 : 603.70 = 603.70 : x
  2. Step 2: Convert to fraction form
    292.36/603.70 = 603.70/x
  3. Step 3: Cross multiply
    292.36x = 603.70 × 603.70
  4. Step 4: Simplify right side
    292.36x = 364,457.46
  5. Step 5: Solve for x
    x = 364,457.46/292.36
  6. Step 6: Final answer
    x = 1,246.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.