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Finding the Third Proportional to 304,124 and 477,072

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Solution

The third proportional to 304,124 and 477,072 is: 748,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,124 : 477,072 = 477,072 : x
  2. Step 2: Convert to fraction form
    304,124/477,072 = 477,072/x
  3. Step 3: Cross multiply
    304,124x = 477,072 × 477,072
  4. Step 4: Simplify right side
    304,124x = 227,597,693,184
  5. Step 5: Solve for x
    x = 227,597,693,184/304,124
  6. Step 6: Final answer
    x = 748,371.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.