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Finding the Third Proportional to 383,643 and 601,850.25

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Solution

The third proportional to 383,643 and 601,850.25 is: 944,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,643 : 601,850.25 = 601,850.25 : x
  2. Step 2: Convert to fraction form
    383,643/601,850.25 = 601,850.25/x
  3. Step 3: Cross multiply
    383,643x = 601,850.25 × 601,850.25
  4. Step 4: Simplify right side
    383,643x = 362,223,723,425.06
  5. Step 5: Solve for x
    x = 362,223,723,425.06/383,643
  6. Step 6: Final answer
    x = 944,168.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.