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Finding the Third Proportional to 322,551.75 and 512,430

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Solution

The third proportional to 322,551.75 and 512,430 is: 814,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,551.75 : 512,430 = 512,430 : x
  2. Step 2: Convert to fraction form
    322,551.75/512,430 = 512,430/x
  3. Step 3: Cross multiply
    322,551.75x = 512,430 × 512,430
  4. Step 4: Simplify right side
    322,551.75x = 262,584,504,900
  5. Step 5: Solve for x
    x = 262,584,504,900/322,551.75
  6. Step 6: Final answer
    x = 814,084.89

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.