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Finding the Third Proportional to 293,894 and 600,240

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Solution

The third proportional to 293,894 and 600,240 is: 1,225,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,894 : 600,240 = 600,240 : x
  2. Step 2: Convert to fraction form
    293,894/600,240 = 600,240/x
  3. Step 3: Cross multiply
    293,894x = 600,240 × 600,240
  4. Step 4: Simplify right side
    293,894x = 360,288,057,600
  5. Step 5: Solve for x
    x = 360,288,057,600/293,894
  6. Step 6: Final answer
    x = 1,225,911.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.