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Finding the Third Proportional to 405,224.63 and 881,801.25

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Solution

The third proportional to 405,224.63 and 881,801.25 is: 1,918,870.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,224.63 : 881,801.25 = 881,801.25 : x
  2. Step 2: Convert to fraction form
    405,224.63/881,801.25 = 881,801.25/x
  3. Step 3: Cross multiply
    405,224.63x = 881,801.25 × 881,801.25
  4. Step 4: Simplify right side
    405,224.63x = 777,573,444,501.56
  5. Step 5: Solve for x
    x = 777,573,444,501.56/405,224.63
  6. Step 6: Final answer
    x = 1,918,870.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.