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Finding the Third Proportional to 208,656 and 450,504

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Solution

The third proportional to 208,656 and 450,504 is: 972,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,656 : 450,504 = 450,504 : x
  2. Step 2: Convert to fraction form
    208,656/450,504 = 450,504/x
  3. Step 3: Cross multiply
    208,656x = 450,504 × 450,504
  4. Step 4: Simplify right side
    208,656x = 202,953,854,016
  5. Step 5: Solve for x
    x = 202,953,854,016/208,656
  6. Step 6: Final answer
    x = 972,672.02

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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.