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Finding the Third Proportional to 349,738 and 540,064

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Solution

The third proportional to 349,738 and 540,064 is: 833,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,738 : 540,064 = 540,064 : x
  2. Step 2: Convert to fraction form
    349,738/540,064 = 540,064/x
  3. Step 3: Cross multiply
    349,738x = 540,064 × 540,064
  4. Step 4: Simplify right side
    349,738x = 291,669,124,096
  5. Step 5: Solve for x
    x = 291,669,124,096/349,738
  6. Step 6: Final answer
    x = 833,964.64

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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.