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Finding the Third Proportional to 698,980.50 and 1,047,390.75

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Solution

The third proportional to 698,980.50 and 1,047,390.75 is: 1,569,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,980.50 : 1,047,390.75 = 1,047,390.75 : x
  2. Step 2: Convert to fraction form
    698,980.50/1,047,390.75 = 1,047,390.75/x
  3. Step 3: Cross multiply
    698,980.50x = 1,047,390.75 × 1,047,390.75
  4. Step 4: Simplify right side
    698,980.50x = 1,097,027,383,185.56
  5. Step 5: Solve for x
    x = 1,097,027,383,185.56/698,980.50
  6. Step 6: Final answer
    x = 1,569,467.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.