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Finding the Third Proportional to 257,042 and 384,051

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Solution

The third proportional to 257,042 and 384,051 is: 573,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,042 : 384,051 = 384,051 : x
  2. Step 2: Convert to fraction form
    257,042/384,051 = 384,051/x
  3. Step 3: Cross multiply
    257,042x = 384,051 × 384,051
  4. Step 4: Simplify right side
    257,042x = 147,495,170,601
  5. Step 5: Solve for x
    x = 147,495,170,601/257,042
  6. Step 6: Final answer
    x = 573,817.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.