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Finding the Third Proportional to 381,303 and 838,786.50

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Solution

The third proportional to 381,303 and 838,786.50 is: 1,845,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,303 : 838,786.50 = 838,786.50 : x
  2. Step 2: Convert to fraction form
    381,303/838,786.50 = 838,786.50/x
  3. Step 3: Cross multiply
    381,303x = 838,786.50 × 838,786.50
  4. Step 4: Simplify right side
    381,303x = 703,562,792,582.25
  5. Step 5: Solve for x
    x = 703,562,792,582.25/381,303
  6. Step 6: Final answer
    x = 1,845,154.10

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