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Finding the Third Proportional to 258,082 and 556,984

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Solution

The third proportional to 258,082 and 556,984 is: 1,202,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,082 : 556,984 = 556,984 : x
  2. Step 2: Convert to fraction form
    258,082/556,984 = 556,984/x
  3. Step 3: Cross multiply
    258,082x = 556,984 × 556,984
  4. Step 4: Simplify right side
    258,082x = 310,231,176,256
  5. Step 5: Solve for x
    x = 310,231,176,256/258,082
  6. Step 6: Final answer
    x = 1,202,064.37

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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.