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Finding the Third Proportional to 727,056.75 and 1,110,268.13

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Solution

The third proportional to 727,056.75 and 1,110,268.13 is: 1,695,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,056.75 : 1,110,268.13 = 1,110,268.13 : x
  2. Step 2: Convert to fraction form
    727,056.75/1,110,268.13 = 1,110,268.13/x
  3. Step 3: Cross multiply
    727,056.75x = 1,110,268.13 × 1,110,268.13
  4. Step 4: Simplify right side
    727,056.75x = 1,232,695,309,391.02
  5. Step 5: Solve for x
    x = 1,232,695,309,391.02/727,056.75
  6. Step 6: Final answer
    x = 1,695,459.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.