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Finding the Third Proportional to 491,175 and 733,729

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Solution

The third proportional to 491,175 and 733,729 is: 1,096,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,175 : 733,729 = 733,729 : x
  2. Step 2: Convert to fraction form
    491,175/733,729 = 733,729/x
  3. Step 3: Cross multiply
    491,175x = 733,729 × 733,729
  4. Step 4: Simplify right side
    491,175x = 538,358,245,441
  5. Step 5: Solve for x
    x = 538,358,245,441/491,175
  6. Step 6: Final answer
    x = 1,096,061.98

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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.