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Finding the Third Proportional to 304,318 and 670,844

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Solution

The third proportional to 304,318 and 670,844 is: 1,478,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,318 : 670,844 = 670,844 : x
  2. Step 2: Convert to fraction form
    304,318/670,844 = 670,844/x
  3. Step 3: Cross multiply
    304,318x = 670,844 × 670,844
  4. Step 4: Simplify right side
    304,318x = 450,031,672,336
  5. Step 5: Solve for x
    x = 450,031,672,336/304,318
  6. Step 6: Final answer
    x = 1,478,820.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.