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Finding the Third Proportional to 405,570.25 and 938,868.50

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Solution

The third proportional to 405,570.25 and 938,868.50 is: 2,173,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,570.25 : 938,868.50 = 938,868.50 : x
  2. Step 2: Convert to fraction form
    405,570.25/938,868.50 = 938,868.50/x
  3. Step 3: Cross multiply
    405,570.25x = 938,868.50 × 938,868.50
  4. Step 4: Simplify right side
    405,570.25x = 881,474,060,292.25
  5. Step 5: Solve for x
    x = 881,474,060,292.25/405,570.25
  6. Step 6: Final answer
    x = 2,173,418.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.