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Finding the Third Proportional to 385,268 and 613,578

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Solution

The third proportional to 385,268 and 613,578 is: 977,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,268 : 613,578 = 613,578 : x
  2. Step 2: Convert to fraction form
    385,268/613,578 = 613,578/x
  3. Step 3: Cross multiply
    385,268x = 613,578 × 613,578
  4. Step 4: Simplify right side
    385,268x = 376,477,962,084
  5. Step 5: Solve for x
    x = 376,477,962,084/385,268
  6. Step 6: Final answer
    x = 977,184.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.