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Finding the Third Proportional to 349,910 and 524,774

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Solution

The third proportional to 349,910 and 524,774 is: 787,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,910 : 524,774 = 524,774 : x
  2. Step 2: Convert to fraction form
    349,910/524,774 = 524,774/x
  3. Step 3: Cross multiply
    349,910x = 524,774 × 524,774
  4. Step 4: Simplify right side
    349,910x = 275,387,751,076
  5. Step 5: Solve for x
    x = 275,387,751,076/349,910
  6. Step 6: Final answer
    x = 787,024.52

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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.