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Finding the Third Proportional to 252,582 and 540,185.25

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Solution

The third proportional to 252,582 and 540,185.25 is: 1,155,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,582 : 540,185.25 = 540,185.25 : x
  2. Step 2: Convert to fraction form
    252,582/540,185.25 = 540,185.25/x
  3. Step 3: Cross multiply
    252,582x = 540,185.25 × 540,185.25
  4. Step 4: Simplify right side
    252,582x = 291,800,104,317.56
  5. Step 5: Solve for x
    x = 291,800,104,317.56/252,582
  6. Step 6: Final answer
    x = 1,155,268.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.