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Finding the Third Proportional to 310,027.50 and 438,809.06

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Solution

The third proportional to 310,027.50 and 438,809.06 is: 621,084.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,027.50 : 438,809.06 = 438,809.06 : x
  2. Step 2: Convert to fraction form
    310,027.50/438,809.06 = 438,809.06/x
  3. Step 3: Cross multiply
    310,027.50x = 438,809.06 × 438,809.06
  4. Step 4: Simplify right side
    310,027.50x = 192,553,393,332.13
  5. Step 5: Solve for x
    x = 192,553,393,332.13/310,027.50
  6. Step 6: Final answer
    x = 621,084.88

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