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Finding the Third Proportional to 374,014 and 729,336

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Solution

The third proportional to 374,014 and 729,336 is: 1,422,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,014 : 729,336 = 729,336 : x
  2. Step 2: Convert to fraction form
    374,014/729,336 = 729,336/x
  3. Step 3: Cross multiply
    374,014x = 729,336 × 729,336
  4. Step 4: Simplify right side
    374,014x = 531,931,000,896
  5. Step 5: Solve for x
    x = 531,931,000,896/374,014
  6. Step 6: Final answer
    x = 1,422,222.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.