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Finding the Third Proportional to 491,178 and 733,733

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Solution

The third proportional to 491,178 and 733,733 is: 1,096,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,178 : 733,733 = 733,733 : x
  2. Step 2: Convert to fraction form
    491,178/733,733 = 733,733/x
  3. Step 3: Cross multiply
    491,178x = 733,733 × 733,733
  4. Step 4: Simplify right side
    491,178x = 538,364,115,289
  5. Step 5: Solve for x
    x = 538,364,115,289/491,178
  6. Step 6: Final answer
    x = 1,096,067.24

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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.