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Finding the Third Proportional to 350,901 and 500,107.50

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Solution

The third proportional to 350,901 and 500,107.50 is: 712,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,901 : 500,107.50 = 500,107.50 : x
  2. Step 2: Convert to fraction form
    350,901/500,107.50 = 500,107.50/x
  3. Step 3: Cross multiply
    350,901x = 500,107.50 × 500,107.50
  4. Step 4: Simplify right side
    350,901x = 250,107,511,556.25
  5. Step 5: Solve for x
    x = 250,107,511,556.25/350,901
  6. Step 6: Final answer
    x = 712,758.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.