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Finding the Third Proportional to 208,643.50 and 450,546.50

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Solution

The third proportional to 208,643.50 and 450,546.50 is: 972,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,643.50 : 450,546.50 = 450,546.50 : x
  2. Step 2: Convert to fraction form
    208,643.50/450,546.50 = 450,546.50/x
  3. Step 3: Cross multiply
    208,643.50x = 450,546.50 × 450,546.50
  4. Step 4: Simplify right side
    208,643.50x = 202,992,148,662.25
  5. Step 5: Solve for x
    x = 202,992,148,662.25/208,643.50
  6. Step 6: Final answer
    x = 972,913.84

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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.