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Finding the Third Proportional to 290,038.50 and 638,941.50

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Solution

The third proportional to 290,038.50 and 638,941.50 is: 1,407,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,038.50 : 638,941.50 = 638,941.50 : x
  2. Step 2: Convert to fraction form
    290,038.50/638,941.50 = 638,941.50/x
  3. Step 3: Cross multiply
    290,038.50x = 638,941.50 × 638,941.50
  4. Step 4: Simplify right side
    290,038.50x = 408,246,240,422.25
  5. Step 5: Solve for x
    x = 408,246,240,422.25/290,038.50
  6. Step 6: Final answer
    x = 1,407,558.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.