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Finding the Third Proportional to 491,118.75 and 733,653

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Solution

The third proportional to 491,118.75 and 733,653 is: 1,095,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,118.75 : 733,653 = 733,653 : x
  2. Step 2: Convert to fraction form
    491,118.75/733,653 = 733,653/x
  3. Step 3: Cross multiply
    491,118.75x = 733,653 × 733,653
  4. Step 4: Simplify right side
    491,118.75x = 538,246,724,409
  5. Step 5: Solve for x
    x = 538,246,724,409/491,118.75
  6. Step 6: Final answer
    x = 1,095,960.45

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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.