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Finding the Third Proportional to 349,992 and 749,556

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Solution

The third proportional to 349,992 and 749,556 is: 1,605,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,992 : 749,556 = 749,556 : x
  2. Step 2: Convert to fraction form
    349,992/749,556 = 749,556/x
  3. Step 3: Cross multiply
    349,992x = 749,556 × 749,556
  4. Step 4: Simplify right side
    349,992x = 561,834,197,136
  5. Step 5: Solve for x
    x = 561,834,197,136/349,992
  6. Step 6: Final answer
    x = 1,605,277.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.