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Finding the Third Proportional to 290,749.50 and 616,028

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Solution

The third proportional to 290,749.50 and 616,028 is: 1,305,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,749.50 : 616,028 = 616,028 : x
  2. Step 2: Convert to fraction form
    290,749.50/616,028 = 616,028/x
  3. Step 3: Cross multiply
    290,749.50x = 616,028 × 616,028
  4. Step 4: Simplify right side
    290,749.50x = 379,490,496,784
  5. Step 5: Solve for x
    x = 379,490,496,784/290,749.50
  6. Step 6: Final answer
    x = 1,305,214.62

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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.