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Finding the Third Proportional to 349,904 and 524,765

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Solution

The third proportional to 349,904 and 524,765 is: 787,011.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,904 : 524,765 = 524,765 : x
  2. Step 2: Convert to fraction form
    349,904/524,765 = 524,765/x
  3. Step 3: Cross multiply
    349,904x = 524,765 × 524,765
  4. Step 4: Simplify right side
    349,904x = 275,378,305,225
  5. Step 5: Solve for x
    x = 275,378,305,225/349,904
  6. Step 6: Final answer
    x = 787,011.02

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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.