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Finding the Third Proportional to 293,906 and 600,264

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Solution

The third proportional to 293,906 and 600,264 is: 1,225,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,906 : 600,264 = 600,264 : x
  2. Step 2: Convert to fraction form
    293,906/600,264 = 600,264/x
  3. Step 3: Cross multiply
    293,906x = 600,264 × 600,264
  4. Step 4: Simplify right side
    293,906x = 360,316,869,696
  5. Step 5: Solve for x
    x = 360,316,869,696/293,906
  6. Step 6: Final answer
    x = 1,225,959.56

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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.