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Finding the Third Proportional to 354,802.50 and 550,890

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Solution

The third proportional to 354,802.50 and 550,890 is: 855,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,802.50 : 550,890 = 550,890 : x
  2. Step 2: Convert to fraction form
    354,802.50/550,890 = 550,890/x
  3. Step 3: Cross multiply
    354,802.50x = 550,890 × 550,890
  4. Step 4: Simplify right side
    354,802.50x = 303,479,792,100
  5. Step 5: Solve for x
    x = 303,479,792,100/354,802.50
  6. Step 6: Final answer
    x = 855,348.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.