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Finding the Third Proportional to 291,674 and 456,954

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Solution

The third proportional to 291,674 and 456,954 is: 715,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,674 : 456,954 = 456,954 : x
  2. Step 2: Convert to fraction form
    291,674/456,954 = 456,954/x
  3. Step 3: Cross multiply
    291,674x = 456,954 × 456,954
  4. Step 4: Simplify right side
    291,674x = 208,806,958,116
  5. Step 5: Solve for x
    x = 208,806,958,116/291,674
  6. Step 6: Final answer
    x = 715,891.57

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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.