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Finding the Third Proportional to 370,212.75 and 787,137.75

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Solution

The third proportional to 370,212.75 and 787,137.75 is: 1,673,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,212.75 : 787,137.75 = 787,137.75 : x
  2. Step 2: Convert to fraction form
    370,212.75/787,137.75 = 787,137.75/x
  3. Step 3: Cross multiply
    370,212.75x = 787,137.75 × 787,137.75
  4. Step 4: Simplify right side
    370,212.75x = 619,585,837,475.06
  5. Step 5: Solve for x
    x = 619,585,837,475.06/370,212.75
  6. Step 6: Final answer
    x = 1,673,594.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.