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Finding the Third Proportional to 380,605.50 and 836,527.50

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Solution

The third proportional to 380,605.50 and 836,527.50 is: 1,838,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,605.50 : 836,527.50 = 836,527.50 : x
  2. Step 2: Convert to fraction form
    380,605.50/836,527.50 = 836,527.50/x
  3. Step 3: Cross multiply
    380,605.50x = 836,527.50 × 836,527.50
  4. Step 4: Simplify right side
    380,605.50x = 699,778,258,256.25
  5. Step 5: Solve for x
    x = 699,778,258,256.25/380,605.50
  6. Step 6: Final answer
    x = 1,838,592.08

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Why These Related Problems?

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