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Finding the Third Proportional to 274,408 and 592,556

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Solution

The third proportional to 274,408 and 592,556 is: 1,279,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,408 : 592,556 = 592,556 : x
  2. Step 2: Convert to fraction form
    274,408/592,556 = 592,556/x
  3. Step 3: Cross multiply
    274,408x = 592,556 × 592,556
  4. Step 4: Simplify right side
    274,408x = 351,122,613,136
  5. Step 5: Solve for x
    x = 351,122,613,136/274,408
  6. Step 6: Final answer
    x = 1,279,564.05

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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.