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Finding the Third Proportional to 482,258.25 and 1,047,541.50

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Solution

The third proportional to 482,258.25 and 1,047,541.50 is: 2,275,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,258.25 : 1,047,541.50 = 1,047,541.50 : x
  2. Step 2: Convert to fraction form
    482,258.25/1,047,541.50 = 1,047,541.50/x
  3. Step 3: Cross multiply
    482,258.25x = 1,047,541.50 × 1,047,541.50
  4. Step 4: Simplify right side
    482,258.25x = 1,097,343,194,222.25
  5. Step 5: Solve for x
    x = 1,097,343,194,222.25/482,258.25
  6. Step 6: Final answer
    x = 2,275,426.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.