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Finding the Third Proportional to 310,003.50 and 438,808.50

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Solution

The third proportional to 310,003.50 and 438,808.50 is: 621,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,003.50 : 438,808.50 = 438,808.50 : x
  2. Step 2: Convert to fraction form
    310,003.50/438,808.50 = 438,808.50/x
  3. Step 3: Cross multiply
    310,003.50x = 438,808.50 × 438,808.50
  4. Step 4: Simplify right side
    310,003.50x = 192,552,899,672.25
  5. Step 5: Solve for x
    x = 192,552,899,672.25/310,003.50
  6. Step 6: Final answer
    x = 621,131.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.