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Finding the Third Proportional to 250,435.75 and 590,580.50

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Solution

The third proportional to 250,435.75 and 590,580.50 is: 1,392,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,435.75 : 590,580.50 = 590,580.50 : x
  2. Step 2: Convert to fraction form
    250,435.75/590,580.50 = 590,580.50/x
  3. Step 3: Cross multiply
    250,435.75x = 590,580.50 × 590,580.50
  4. Step 4: Simplify right side
    250,435.75x = 348,785,326,980.25
  5. Step 5: Solve for x
    x = 348,785,326,980.25/250,435.75
  6. Step 6: Final answer
    x = 1,392,713.81

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.