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Finding the Third Proportional to 306,103.75 and 714,802.63

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Solution

The third proportional to 306,103.75 and 714,802.63 is: 1,669,181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,103.75 : 714,802.63 = 714,802.63 : x
  2. Step 2: Convert to fraction form
    306,103.75/714,802.63 = 714,802.63/x
  3. Step 3: Cross multiply
    306,103.75x = 714,802.63 × 714,802.63
  4. Step 4: Simplify right side
    306,103.75x = 510,942,792,706.89
  5. Step 5: Solve for x
    x = 510,942,792,706.89/306,103.75
  6. Step 6: Final answer
    x = 1,669,181.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.