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Finding the Third Proportional to 491,175 and 733,728

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Solution

The third proportional to 491,175 and 733,728 is: 1,096,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,175 : 733,728 = 733,728 : x
  2. Step 2: Convert to fraction form
    491,175/733,728 = 733,728/x
  3. Step 3: Cross multiply
    491,175x = 733,728 × 733,728
  4. Step 4: Simplify right side
    491,175x = 538,356,777,984
  5. Step 5: Solve for x
    x = 538,356,777,984/491,175
  6. Step 6: Final answer
    x = 1,096,059.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.