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Finding the Third Proportional to 310,128.75 and 633,379.50

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Solution

The third proportional to 310,128.75 and 633,379.50 is: 1,293,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,128.75 : 633,379.50 = 633,379.50 : x
  2. Step 2: Convert to fraction form
    310,128.75/633,379.50 = 633,379.50/x
  3. Step 3: Cross multiply
    310,128.75x = 633,379.50 × 633,379.50
  4. Step 4: Simplify right side
    310,128.75x = 401,169,591,020.25
  5. Step 5: Solve for x
    x = 401,169,591,020.25/310,128.75
  6. Step 6: Final answer
    x = 1,293,558.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.