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Finding the Third Proportional to 270,385 and 625,923

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Solution

The third proportional to 270,385 and 625,923 is: 1,448,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,385 : 625,923 = 625,923 : x
  2. Step 2: Convert to fraction form
    270,385/625,923 = 625,923/x
  3. Step 3: Cross multiply
    270,385x = 625,923 × 625,923
  4. Step 4: Simplify right side
    270,385x = 391,779,601,929
  5. Step 5: Solve for x
    x = 391,779,601,929/270,385
  6. Step 6: Final answer
    x = 1,448,969.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.