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Finding the Third Proportional to 464,833.69 and 985,486.50

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Solution

The third proportional to 464,833.69 and 985,486.50 is: 2,089,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,833.69 : 985,486.50 = 985,486.50 : x
  2. Step 2: Convert to fraction form
    464,833.69/985,486.50 = 985,486.50/x
  3. Step 3: Cross multiply
    464,833.69x = 985,486.50 × 985,486.50
  4. Step 4: Simplify right side
    464,833.69x = 971,183,641,682.25
  5. Step 5: Solve for x
    x = 971,183,641,682.25/464,833.69
  6. Step 6: Final answer
    x = 2,089,314.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.