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Finding the Third Proportional to 208,638.75 and 450,537.75

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Solution

The third proportional to 208,638.75 and 450,537.75 is: 972,898.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,638.75 : 450,537.75 = 450,537.75 : x
  2. Step 2: Convert to fraction form
    208,638.75/450,537.75 = 450,537.75/x
  3. Step 3: Cross multiply
    208,638.75x = 450,537.75 × 450,537.75
  4. Step 4: Simplify right side
    208,638.75x = 202,984,264,175.06
  5. Step 5: Solve for x
    x = 202,984,264,175.06/208,638.75
  6. Step 6: Final answer
    x = 972,898.20

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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.