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Finding the Third Proportional to 511,287.75 and 1,101,064.50

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Solution

The third proportional to 511,287.75 and 1,101,064.50 is: 2,371,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,287.75 : 1,101,064.50 = 1,101,064.50 : x
  2. Step 2: Convert to fraction form
    511,287.75/1,101,064.50 = 1,101,064.50/x
  3. Step 3: Cross multiply
    511,287.75x = 1,101,064.50 × 1,101,064.50
  4. Step 4: Simplify right side
    511,287.75x = 1,212,343,033,160.25
  5. Step 5: Solve for x
    x = 1,212,343,033,160.25/511,287.75
  6. Step 6: Final answer
    x = 2,371,156.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.