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Finding the Third Proportional to 450,121.50 and 680,001.75

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Solution

The third proportional to 450,121.50 and 680,001.75 is: 1,027,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,121.50 : 680,001.75 = 680,001.75 : x
  2. Step 2: Convert to fraction form
    450,121.50/680,001.75 = 680,001.75/x
  3. Step 3: Cross multiply
    450,121.50x = 680,001.75 × 680,001.75
  4. Step 4: Simplify right side
    450,121.50x = 462,402,380,003.06
  5. Step 5: Solve for x
    x = 462,402,380,003.06/450,121.50
  6. Step 6: Final answer
    x = 1,027,283.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.