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Finding the Third Proportional to 273,314 and 591,556

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Solution

The third proportional to 273,314 and 591,556 is: 1,280,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,314 : 591,556 = 591,556 : x
  2. Step 2: Convert to fraction form
    273,314/591,556 = 591,556/x
  3. Step 3: Cross multiply
    273,314x = 591,556 × 591,556
  4. Step 4: Simplify right side
    273,314x = 349,938,501,136
  5. Step 5: Solve for x
    x = 349,938,501,136/273,314
  6. Step 6: Final answer
    x = 1,280,353.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.