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Finding the Third Proportional to 380,157 and 883,960.50

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Solution

The third proportional to 380,157 and 883,960.50 is: 2,055,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,157 : 883,960.50 = 883,960.50 : x
  2. Step 2: Convert to fraction form
    380,157/883,960.50 = 883,960.50/x
  3. Step 3: Cross multiply
    380,157x = 883,960.50 × 883,960.50
  4. Step 4: Simplify right side
    380,157x = 781,386,165,560.25
  5. Step 5: Solve for x
    x = 781,386,165,560.25/380,157
  6. Step 6: Final answer
    x = 2,055,430.17

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.