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Finding the Third Proportional to 403,405.39 and 877,783.63

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Solution

The third proportional to 403,405.39 and 877,783.63 is: 1,909,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,405.39 : 877,783.63 = 877,783.63 : x
  2. Step 2: Convert to fraction form
    403,405.39/877,783.63 = 877,783.63/x
  3. Step 3: Cross multiply
    403,405.39x = 877,783.63 × 877,783.63
  4. Step 4: Simplify right side
    403,405.39x = 770,504,104,319.13
  5. Step 5: Solve for x
    x = 770,504,104,319.13/403,405.39
  6. Step 6: Final answer
    x = 1,909,999.52

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