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Finding the Third Proportional to 339,009.75 and 464,845.50

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Solution

The third proportional to 339,009.75 and 464,845.50 is: 637,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,009.75 : 464,845.50 = 464,845.50 : x
  2. Step 2: Convert to fraction form
    339,009.75/464,845.50 = 464,845.50/x
  3. Step 3: Cross multiply
    339,009.75x = 464,845.50 × 464,845.50
  4. Step 4: Simplify right side
    339,009.75x = 216,081,338,870.25
  5. Step 5: Solve for x
    x = 216,081,338,870.25/339,009.75
  6. Step 6: Final answer
    x = 637,389.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.