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Finding the Third Proportional to 349,970 and 524,834

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Solution

The third proportional to 349,970 and 524,834 is: 787,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,970 : 524,834 = 524,834 : x
  2. Step 2: Convert to fraction form
    349,970/524,834 = 524,834/x
  3. Step 3: Cross multiply
    349,970x = 524,834 × 524,834
  4. Step 4: Simplify right side
    349,970x = 275,450,727,556
  5. Step 5: Solve for x
    x = 275,450,727,556/349,970
  6. Step 6: Final answer
    x = 787,069.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.