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Finding the Third Proportional to 304,836 and 670,004

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Solution

The third proportional to 304,836 and 670,004 is: 1,472,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,836 : 670,004 = 670,004 : x
  2. Step 2: Convert to fraction form
    304,836/670,004 = 670,004/x
  3. Step 3: Cross multiply
    304,836x = 670,004 × 670,004
  4. Step 4: Simplify right side
    304,836x = 448,905,360,016
  5. Step 5: Solve for x
    x = 448,905,360,016/304,836
  6. Step 6: Final answer
    x = 1,472,612.68

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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.