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Finding the Third Proportional to 290,828 and 623,774

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Solution

The third proportional to 290,828 and 623,774 is: 1,337,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,828 : 623,774 = 623,774 : x
  2. Step 2: Convert to fraction form
    290,828/623,774 = 623,774/x
  3. Step 3: Cross multiply
    290,828x = 623,774 × 623,774
  4. Step 4: Simplify right side
    290,828x = 389,094,003,076
  5. Step 5: Solve for x
    x = 389,094,003,076/290,828
  6. Step 6: Final answer
    x = 1,337,883.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.