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Finding the Third Proportional to 370,476.28 and 770,021.44

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Solution

The third proportional to 370,476.28 and 770,021.44 is: 1,600,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,476.28 : 770,021.44 = 770,021.44 : x
  2. Step 2: Convert to fraction form
    370,476.28/770,021.44 = 770,021.44/x
  3. Step 3: Cross multiply
    370,476.28x = 770,021.44 × 770,021.44
  4. Step 4: Simplify right side
    370,476.28x = 592,933,014,209.57
  5. Step 5: Solve for x
    x = 592,933,014,209.57/370,476.28
  6. Step 6: Final answer
    x = 1,600,461.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.