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Finding the Third Proportional to 269,073 and 570,944.25

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Solution

The third proportional to 269,073 and 570,944.25 is: 1,211,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,073 : 570,944.25 = 570,944.25 : x
  2. Step 2: Convert to fraction form
    269,073/570,944.25 = 570,944.25/x
  3. Step 3: Cross multiply
    269,073x = 570,944.25 × 570,944.25
  4. Step 4: Simplify right side
    269,073x = 325,977,336,608.06
  5. Step 5: Solve for x
    x = 325,977,336,608.06/269,073
  6. Step 6: Final answer
    x = 1,211,482.89

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