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Finding the Third Proportional to 257,586 and 560,938

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Solution

The third proportional to 257,586 and 560,938 is: 1,221,539.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,586 : 560,938 = 560,938 : x
  2. Step 2: Convert to fraction form
    257,586/560,938 = 560,938/x
  3. Step 3: Cross multiply
    257,586x = 560,938 × 560,938
  4. Step 4: Simplify right side
    257,586x = 314,651,439,844
  5. Step 5: Solve for x
    x = 314,651,439,844/257,586
  6. Step 6: Final answer
    x = 1,221,539.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.