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Finding the Third Proportional to 285,522 and 621,892

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Solution

The third proportional to 285,522 and 621,892 is: 1,354,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,522 : 621,892 = 621,892 : x
  2. Step 2: Convert to fraction form
    285,522/621,892 = 621,892/x
  3. Step 3: Cross multiply
    285,522x = 621,892 × 621,892
  4. Step 4: Simplify right side
    285,522x = 386,749,659,664
  5. Step 5: Solve for x
    x = 386,749,659,664/285,522
  6. Step 6: Final answer
    x = 1,354,535.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.