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Finding the Third Proportional to 305,104 and 461,598

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Solution

The third proportional to 305,104 and 461,598 is: 698,360.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,104 : 461,598 = 461,598 : x
  2. Step 2: Convert to fraction form
    305,104/461,598 = 461,598/x
  3. Step 3: Cross multiply
    305,104x = 461,598 × 461,598
  4. Step 4: Simplify right side
    305,104x = 213,072,713,604
  5. Step 5: Solve for x
    x = 213,072,713,604/305,104
  6. Step 6: Final answer
    x = 698,360.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.