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Finding the Third Proportional to 403,842.75 and 881,030.25

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Solution

The third proportional to 403,842.75 and 881,030.25 is: 1,922,070.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,842.75 : 881,030.25 = 881,030.25 : x
  2. Step 2: Convert to fraction form
    403,842.75/881,030.25 = 881,030.25/x
  3. Step 3: Cross multiply
    403,842.75x = 881,030.25 × 881,030.25
  4. Step 4: Simplify right side
    403,842.75x = 776,214,301,415.06
  5. Step 5: Solve for x
    x = 776,214,301,415.06/403,842.75
  6. Step 6: Final answer
    x = 1,922,070.66

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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.