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Finding the Third Proportional to 274,038 and 600,444

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Solution

The third proportional to 274,038 and 600,444 is: 1,315,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,038 : 600,444 = 600,444 : x
  2. Step 2: Convert to fraction form
    274,038/600,444 = 600,444/x
  3. Step 3: Cross multiply
    274,038x = 600,444 × 600,444
  4. Step 4: Simplify right side
    274,038x = 360,532,997,136
  5. Step 5: Solve for x
    x = 360,532,997,136/274,038
  6. Step 6: Final answer
    x = 1,315,631.40

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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.