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Finding the Third Proportional to 304,047 and 483,894

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Solution

The third proportional to 304,047 and 483,894 is: 770,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,047 : 483,894 = 483,894 : x
  2. Step 2: Convert to fraction form
    304,047/483,894 = 483,894/x
  3. Step 3: Cross multiply
    304,047x = 483,894 × 483,894
  4. Step 4: Simplify right side
    304,047x = 234,153,403,236
  5. Step 5: Solve for x
    x = 234,153,403,236/304,047
  6. Step 6: Final answer
    x = 770,122.39

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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.