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Finding the Third Proportional to 571,584.09 and 1,232,394.75

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Solution

The third proportional to 571,584.09 and 1,232,394.75 is: 2,657,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,584.09 : 1,232,394.75 = 1,232,394.75 : x
  2. Step 2: Convert to fraction form
    571,584.09/1,232,394.75 = 1,232,394.75/x
  3. Step 3: Cross multiply
    571,584.09x = 1,232,394.75 × 1,232,394.75
  4. Step 4: Simplify right side
    571,584.09x = 1,518,796,819,827.56
  5. Step 5: Solve for x
    x = 1,518,796,819,827.56/571,584.09
  6. Step 6: Final answer
    x = 2,657,171.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.