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Finding the Third Proportional to 208,629 and 450,517.50

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Solution

The third proportional to 208,629 and 450,517.50 is: 972,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,629 : 450,517.50 = 450,517.50 : x
  2. Step 2: Convert to fraction form
    208,629/450,517.50 = 450,517.50/x
  3. Step 3: Cross multiply
    208,629x = 450,517.50 × 450,517.50
  4. Step 4: Simplify right side
    208,629x = 202,966,017,806.25
  5. Step 5: Solve for x
    x = 202,966,017,806.25/208,629
  6. Step 6: Final answer
    x = 972,856.21

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Why These Related Problems?

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