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Finding the Third Proportional to 349,802 and 540,164

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Solution

The third proportional to 349,802 and 540,164 is: 834,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,802 : 540,164 = 540,164 : x
  2. Step 2: Convert to fraction form
    349,802/540,164 = 540,164/x
  3. Step 3: Cross multiply
    349,802x = 540,164 × 540,164
  4. Step 4: Simplify right side
    349,802x = 291,777,146,896
  5. Step 5: Solve for x
    x = 291,777,146,896/349,802
  6. Step 6: Final answer
    x = 834,120.87

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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.