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Finding the Third Proportional to 290,745 and 616,018.50

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Solution

The third proportional to 290,745 and 616,018.50 is: 1,305,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,745 : 616,018.50 = 616,018.50 : x
  2. Step 2: Convert to fraction form
    290,745/616,018.50 = 616,018.50/x
  3. Step 3: Cross multiply
    290,745x = 616,018.50 × 616,018.50
  4. Step 4: Simplify right side
    290,745x = 379,478,792,342.25
  5. Step 5: Solve for x
    x = 379,478,792,342.25/290,745
  6. Step 6: Final answer
    x = 1,305,194.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.