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Finding the Third Proportional to 405,000 and 886,261.50

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Solution

The third proportional to 405,000 and 886,261.50 is: 1,939,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,000 : 886,261.50 = 886,261.50 : x
  2. Step 2: Convert to fraction form
    405,000/886,261.50 = 886,261.50/x
  3. Step 3: Cross multiply
    405,000x = 886,261.50 × 886,261.50
  4. Step 4: Simplify right side
    405,000x = 785,459,446,382.25
  5. Step 5: Solve for x
    x = 785,459,446,382.25/405,000
  6. Step 6: Final answer
    x = 1,939,406.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.