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Finding the Third Proportional to 349,825 and 540,197

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Solution

The third proportional to 349,825 and 540,197 is: 834,167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,825 : 540,197 = 540,197 : x
  2. Step 2: Convert to fraction form
    349,825/540,197 = 540,197/x
  3. Step 3: Cross multiply
    349,825x = 540,197 × 540,197
  4. Step 4: Simplify right side
    349,825x = 291,812,798,809
  5. Step 5: Solve for x
    x = 291,812,798,809/349,825
  6. Step 6: Final answer
    x = 834,167.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.