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Finding the Third Proportional to 373,545 and 825,583.50

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Solution

The third proportional to 373,545 and 825,583.50 is: 1,824,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,545 : 825,583.50 = 825,583.50 : x
  2. Step 2: Convert to fraction form
    373,545/825,583.50 = 825,583.50/x
  3. Step 3: Cross multiply
    373,545x = 825,583.50 × 825,583.50
  4. Step 4: Simplify right side
    373,545x = 681,588,115,472.25
  5. Step 5: Solve for x
    x = 681,588,115,472.25/373,545
  6. Step 6: Final answer
    x = 1,824,647.94

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.