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Finding the Third Proportional to 257,589 and 378,663.75

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Solution

The third proportional to 257,589 and 378,663.75 is: 556,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,589 : 378,663.75 = 378,663.75 : x
  2. Step 2: Convert to fraction form
    257,589/378,663.75 = 378,663.75/x
  3. Step 3: Cross multiply
    257,589x = 378,663.75 × 378,663.75
  4. Step 4: Simplify right side
    257,589x = 143,386,235,564.06
  5. Step 5: Solve for x
    x = 143,386,235,564.06/257,589
  6. Step 6: Final answer
    x = 556,647.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.