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Finding the Third Proportional to 305,059 and 463,808

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Solution

The third proportional to 305,059 and 463,808 is: 705,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,059 : 463,808 = 463,808 : x
  2. Step 2: Convert to fraction form
    305,059/463,808 = 463,808/x
  3. Step 3: Cross multiply
    305,059x = 463,808 × 463,808
  4. Step 4: Simplify right side
    305,059x = 215,117,860,864
  5. Step 5: Solve for x
    x = 215,117,860,864/305,059
  6. Step 6: Final answer
    x = 705,168.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.