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Finding the Third Proportional to 257,268 and 557,466

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Solution

The third proportional to 257,268 and 557,466 is: 1,207,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,268 : 557,466 = 557,466 : x
  2. Step 2: Convert to fraction form
    257,268/557,466 = 557,466/x
  3. Step 3: Cross multiply
    257,268x = 557,466 × 557,466
  4. Step 4: Simplify right side
    257,268x = 310,768,341,156
  5. Step 5: Solve for x
    x = 310,768,341,156/257,268
  6. Step 6: Final answer
    x = 1,207,955.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.