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Finding the Third Proportional to 270,902 and 623,039

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Solution

The third proportional to 270,902 and 623,039 is: 1,432,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,902 : 623,039 = 623,039 : x
  2. Step 2: Convert to fraction form
    270,902/623,039 = 623,039/x
  3. Step 3: Cross multiply
    270,902x = 623,039 × 623,039
  4. Step 4: Simplify right side
    270,902x = 388,177,595,521
  5. Step 5: Solve for x
    x = 388,177,595,521/270,902
  6. Step 6: Final answer
    x = 1,432,907.82

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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.