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Finding the Third Proportional to 250,583.63 and 546,405.75

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Solution

The third proportional to 250,583.63 and 546,405.75 is: 1,191,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,583.63 : 546,405.75 = 546,405.75 : x
  2. Step 2: Convert to fraction form
    250,583.63/546,405.75 = 546,405.75/x
  3. Step 3: Cross multiply
    250,583.63x = 546,405.75 × 546,405.75
  4. Step 4: Simplify right side
    250,583.63x = 298,559,243,633.06
  5. Step 5: Solve for x
    x = 298,559,243,633.06/250,583.63
  6. Step 6: Final answer
    x = 1,191,455.52

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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.