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Finding the Third Proportional to 304,048 and 656,480

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Solution

The third proportional to 304,048 and 656,480 is: 1,417,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,048 : 656,480 = 656,480 : x
  2. Step 2: Convert to fraction form
    304,048/656,480 = 656,480/x
  3. Step 3: Cross multiply
    304,048x = 656,480 × 656,480
  4. Step 4: Simplify right side
    304,048x = 430,965,990,400
  5. Step 5: Solve for x
    x = 430,965,990,400/304,048
  6. Step 6: Final answer
    x = 1,417,427.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.