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Finding the Third Proportional to 349,286 and 525,970

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Solution

The third proportional to 349,286 and 525,970 is: 792,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,286 : 525,970 = 525,970 : x
  2. Step 2: Convert to fraction form
    349,286/525,970 = 525,970/x
  3. Step 3: Cross multiply
    349,286x = 525,970 × 525,970
  4. Step 4: Simplify right side
    349,286x = 276,644,440,900
  5. Step 5: Solve for x
    x = 276,644,440,900/349,286
  6. Step 6: Final answer
    x = 792,028.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.