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Finding the Third Proportional to 257,010 and 556,923

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Solution

The third proportional to 257,010 and 556,923 is: 1,206,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,010 : 556,923 = 556,923 : x
  2. Step 2: Convert to fraction form
    257,010/556,923 = 556,923/x
  3. Step 3: Cross multiply
    257,010x = 556,923 × 556,923
  4. Step 4: Simplify right side
    257,010x = 310,163,227,929
  5. Step 5: Solve for x
    x = 310,163,227,929/257,010
  6. Step 6: Final answer
    x = 1,206,813.85

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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.