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Finding the Third Proportional to 274,800 and 585,600

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Solution

The third proportional to 274,800 and 585,600 is: 1,247,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,800 : 585,600 = 585,600 : x
  2. Step 2: Convert to fraction form
    274,800/585,600 = 585,600/x
  3. Step 3: Cross multiply
    274,800x = 585,600 × 585,600
  4. Step 4: Simplify right side
    274,800x = 342,927,360,000
  5. Step 5: Solve for x
    x = 342,927,360,000/274,800
  6. Step 6: Final answer
    x = 1,247,916.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.