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Finding the Third Proportional to 349,818 and 540,186

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Solution

The third proportional to 349,818 and 540,186 is: 834,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,818 : 540,186 = 540,186 : x
  2. Step 2: Convert to fraction form
    349,818/540,186 = 540,186/x
  3. Step 3: Cross multiply
    349,818x = 540,186 × 540,186
  4. Step 4: Simplify right side
    349,818x = 291,800,914,596
  5. Step 5: Solve for x
    x = 291,800,914,596/349,818
  6. Step 6: Final answer
    x = 834,150.66

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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.