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Finding the Third Proportional to 384,309 and 613,935

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Solution

The third proportional to 384,309 and 613,935 is: 980,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,309 : 613,935 = 613,935 : x
  2. Step 2: Convert to fraction form
    384,309/613,935 = 613,935/x
  3. Step 3: Cross multiply
    384,309x = 613,935 × 613,935
  4. Step 4: Simplify right side
    384,309x = 376,916,184,225
  5. Step 5: Solve for x
    x = 376,916,184,225/384,309
  6. Step 6: Final answer
    x = 980,763.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.