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Finding the Third Proportional to 408,142.50 and 882,771

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Solution

The third proportional to 408,142.50 and 882,771 is: 1,909,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,142.50 : 882,771 = 882,771 : x
  2. Step 2: Convert to fraction form
    408,142.50/882,771 = 882,771/x
  3. Step 3: Cross multiply
    408,142.50x = 882,771 × 882,771
  4. Step 4: Simplify right side
    408,142.50x = 779,284,638,441
  5. Step 5: Solve for x
    x = 779,284,638,441/408,142.50
  6. Step 6: Final answer
    x = 1,909,344.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.