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Finding the Third Proportional to 407,615.25 and 877,557.75

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Solution

The third proportional to 407,615.25 and 877,557.75 is: 1,889,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,615.25 : 877,557.75 = 877,557.75 : x
  2. Step 2: Convert to fraction form
    407,615.25/877,557.75 = 877,557.75/x
  3. Step 3: Cross multiply
    407,615.25x = 877,557.75 × 877,557.75
  4. Step 4: Simplify right side
    407,615.25x = 770,107,604,585.06
  5. Step 5: Solve for x
    x = 770,107,604,585.06/407,615.25
  6. Step 6: Final answer
    x = 1,889,300.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.