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Finding the Third Proportional to 319,059 and 493,973.44

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Solution

The third proportional to 319,059 and 493,973.44 is: 764,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,059 : 493,973.44 = 493,973.44 : x
  2. Step 2: Convert to fraction form
    319,059/493,973.44 = 493,973.44/x
  3. Step 3: Cross multiply
    319,059x = 493,973.44 × 493,973.44
  4. Step 4: Simplify right side
    319,059x = 244,009,756,955.57
  5. Step 5: Solve for x
    x = 244,009,756,955.57/319,059
  6. Step 6: Final answer
    x = 764,779.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.