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Finding the Third Proportional to 405,020.25 and 886,342.50

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Solution

The third proportional to 405,020.25 and 886,342.50 is: 1,939,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,020.25 : 886,342.50 = 886,342.50 : x
  2. Step 2: Convert to fraction form
    405,020.25/886,342.50 = 886,342.50/x
  3. Step 3: Cross multiply
    405,020.25x = 886,342.50 × 886,342.50
  4. Step 4: Simplify right side
    405,020.25x = 785,603,027,306.25
  5. Step 5: Solve for x
    x = 785,603,027,306.25/405,020.25
  6. Step 6: Final answer
    x = 1,939,663.58

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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.