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Finding the Third Proportional to 302,833 and 655,828

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Solution

The third proportional to 302,833 and 655,828 is: 1,420,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,833 : 655,828 = 655,828 : x
  2. Step 2: Convert to fraction form
    302,833/655,828 = 655,828/x
  3. Step 3: Cross multiply
    302,833x = 655,828 × 655,828
  4. Step 4: Simplify right side
    302,833x = 430,110,365,584
  5. Step 5: Solve for x
    x = 430,110,365,584/302,833
  6. Step 6: Final answer
    x = 1,420,288.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.