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Finding the Third Proportional to 349,739 and 524,612

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Solution

The third proportional to 349,739 and 524,612 is: 786,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,739 : 524,612 = 524,612 : x
  2. Step 2: Convert to fraction form
    349,739/524,612 = 524,612/x
  3. Step 3: Cross multiply
    349,739x = 524,612 × 524,612
  4. Step 4: Simplify right side
    349,739x = 275,217,750,544
  5. Step 5: Solve for x
    x = 275,217,750,544/349,739
  6. Step 6: Final answer
    x = 786,923.25

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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.