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Finding the Third Proportional to 319,065.75 and 493,984.13

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Solution

The third proportional to 319,065.75 and 493,984.13 is: 764,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,065.75 : 493,984.13 = 493,984.13 : x
  2. Step 2: Convert to fraction form
    319,065.75/493,984.13 = 493,984.13/x
  3. Step 3: Cross multiply
    319,065.75x = 493,984.13 × 493,984.13
  4. Step 4: Simplify right side
    319,065.75x = 244,020,315,752.02
  5. Step 5: Solve for x
    x = 244,020,315,752.02/319,065.75
  6. Step 6: Final answer
    x = 764,796.33

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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.