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Finding the Third Proportional to 270,912 and 623,062

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Solution

The third proportional to 270,912 and 623,062 is: 1,432,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,912 : 623,062 = 623,062 : x
  2. Step 2: Convert to fraction form
    270,912/623,062 = 623,062/x
  3. Step 3: Cross multiply
    270,912x = 623,062 × 623,062
  4. Step 4: Simplify right side
    270,912x = 388,206,255,844
  5. Step 5: Solve for x
    x = 388,206,255,844/270,912
  6. Step 6: Final answer
    x = 1,432,960.72

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.