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Finding the Third Proportional to 403,296 and 619,042.50

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Solution

The third proportional to 403,296 and 619,042.50 is: 950,204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,296 : 619,042.50 = 619,042.50 : x
  2. Step 2: Convert to fraction form
    403,296/619,042.50 = 619,042.50/x
  3. Step 3: Cross multiply
    403,296x = 619,042.50 × 619,042.50
  4. Step 4: Simplify right side
    403,296x = 383,213,616,806.25
  5. Step 5: Solve for x
    x = 383,213,616,806.25/403,296
  6. Step 6: Final answer
    x = 950,204.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.