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Finding the Third Proportional to 450,096.75 and 636,865.03

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Solution

The third proportional to 450,096.75 and 636,865.03 is: 901,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,096.75 : 636,865.03 = 636,865.03 : x
  2. Step 2: Convert to fraction form
    450,096.75/636,865.03 = 636,865.03/x
  3. Step 3: Cross multiply
    450,096.75x = 636,865.03 × 636,865.03
  4. Step 4: Simplify right side
    450,096.75x = 405,597,068,029.06
  5. Step 5: Solve for x
    x = 405,597,068,029.06/450,096.75
  6. Step 6: Final answer
    x = 901,133.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.