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Finding the Third Proportional to 270,910 and 623,057

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Solution

The third proportional to 270,910 and 623,057 is: 1,432,948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,910 : 623,057 = 623,057 : x
  2. Step 2: Convert to fraction form
    270,910/623,057 = 623,057/x
  3. Step 3: Cross multiply
    270,910x = 623,057 × 623,057
  4. Step 4: Simplify right side
    270,910x = 388,200,025,249
  5. Step 5: Solve for x
    x = 388,200,025,249/270,910
  6. Step 6: Final answer
    x = 1,432,948.30

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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.