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Finding the Third Proportional to 498,755.25 and 1,059,657.75

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Solution

The third proportional to 498,755.25 and 1,059,657.75 is: 2,251,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,755.25 : 1,059,657.75 = 1,059,657.75 : x
  2. Step 2: Convert to fraction form
    498,755.25/1,059,657.75 = 1,059,657.75/x
  3. Step 3: Cross multiply
    498,755.25x = 1,059,657.75 × 1,059,657.75
  4. Step 4: Simplify right side
    498,755.25x = 1,122,874,547,135.06
  5. Step 5: Solve for x
    x = 1,122,874,547,135.06/498,755.25
  6. Step 6: Final answer
    x = 2,251,353.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.