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Finding the Third Proportional to 277,275 and 446,409.56

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Solution

The third proportional to 277,275 and 446,409.56 is: 718,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,275 : 446,409.56 = 446,409.56 : x
  2. Step 2: Convert to fraction form
    277,275/446,409.56 = 446,409.56/x
  3. Step 3: Cross multiply
    277,275x = 446,409.56 × 446,409.56
  4. Step 4: Simplify right side
    277,275x = 199,281,497,491.44
  5. Step 5: Solve for x
    x = 199,281,497,491.44/277,275
  6. Step 6: Final answer
    x = 718,714.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.