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Finding the Third Proportional to 511,785 and 1,189,750.50

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Solution

The third proportional to 511,785 and 1,189,750.50 is: 2,765,822.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,785 : 1,189,750.50 = 1,189,750.50 : x
  2. Step 2: Convert to fraction form
    511,785/1,189,750.50 = 1,189,750.50/x
  3. Step 3: Cross multiply
    511,785x = 1,189,750.50 × 1,189,750.50
  4. Step 4: Simplify right side
    511,785x = 1,415,506,252,250.25
  5. Step 5: Solve for x
    x = 1,415,506,252,250.25/511,785
  6. Step 6: Final answer
    x = 2,765,822.08

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.