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Finding the Third Proportional to 405,205.50 and 873,256.50

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Solution

The third proportional to 405,205.50 and 873,256.50 is: 1,881,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,205.50 : 873,256.50 = 873,256.50 : x
  2. Step 2: Convert to fraction form
    405,205.50/873,256.50 = 873,256.50/x
  3. Step 3: Cross multiply
    405,205.50x = 873,256.50 × 873,256.50
  4. Step 4: Simplify right side
    405,205.50x = 762,576,914,792.25
  5. Step 5: Solve for x
    x = 762,576,914,792.25/405,205.50
  6. Step 6: Final answer
    x = 1,881,951.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.