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Finding the Third Proportional to 349,738 and 524,610

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Solution

The third proportional to 349,738 and 524,610 is: 786,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,738 : 524,610 = 524,610 : x
  2. Step 2: Convert to fraction form
    349,738/524,610 = 524,610/x
  3. Step 3: Cross multiply
    349,738x = 524,610 × 524,610
  4. Step 4: Simplify right side
    349,738x = 275,215,652,100
  5. Step 5: Solve for x
    x = 275,215,652,100/349,738
  6. Step 6: Final answer
    x = 786,919.50

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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.