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Finding the Third Proportional to 375,735.75 and 806,119.50

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Solution

The third proportional to 375,735.75 and 806,119.50 is: 1,729,483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,735.75 : 806,119.50 = 806,119.50 : x
  2. Step 2: Convert to fraction form
    375,735.75/806,119.50 = 806,119.50/x
  3. Step 3: Cross multiply
    375,735.75x = 806,119.50 × 806,119.50
  4. Step 4: Simplify right side
    375,735.75x = 649,828,648,280.25
  5. Step 5: Solve for x
    x = 649,828,648,280.25/375,735.75
  6. Step 6: Final answer
    x = 1,729,483.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.