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Finding the Third Proportional to 257,570 and 378,638

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Solution

The third proportional to 257,570 and 378,638 is: 556,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,570 : 378,638 = 378,638 : x
  2. Step 2: Convert to fraction form
    257,570/378,638 = 378,638/x
  3. Step 3: Cross multiply
    257,570x = 378,638 × 378,638
  4. Step 4: Simplify right side
    257,570x = 143,366,735,044
  5. Step 5: Solve for x
    x = 143,366,735,044/257,570
  6. Step 6: Final answer
    x = 556,612.71

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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.