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Finding the Third Proportional to 349,769 and 524,653

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Solution

The third proportional to 349,769 and 524,653 is: 786,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,769 : 524,653 = 524,653 : x
  2. Step 2: Convert to fraction form
    349,769/524,653 = 524,653/x
  3. Step 3: Cross multiply
    349,769x = 524,653 × 524,653
  4. Step 4: Simplify right side
    349,769x = 275,260,770,409
  5. Step 5: Solve for x
    x = 275,260,770,409/349,769
  6. Step 6: Final answer
    x = 786,978.75

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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.