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Finding the Third Proportional to 456,279.96 and 1,056,260.25

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Solution

The third proportional to 456,279.96 and 1,056,260.25 is: 2,445,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,279.96 : 1,056,260.25 = 1,056,260.25 : x
  2. Step 2: Convert to fraction form
    456,279.96/1,056,260.25 = 1,056,260.25/x
  3. Step 3: Cross multiply
    456,279.96x = 1,056,260.25 × 1,056,260.25
  4. Step 4: Simplify right side
    456,279.96x = 1,115,685,715,730.06
  5. Step 5: Solve for x
    x = 1,115,685,715,730.06/456,279.96
  6. Step 6: Final answer
    x = 2,445,177.99

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.