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Finding the Third Proportional to 511,056 and 780,192

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Solution

The third proportional to 511,056 and 780,192 is: 1,191,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,056 : 780,192 = 780,192 : x
  2. Step 2: Convert to fraction form
    511,056/780,192 = 780,192/x
  3. Step 3: Cross multiply
    511,056x = 780,192 × 780,192
  4. Step 4: Simplify right side
    511,056x = 608,699,556,864
  5. Step 5: Solve for x
    x = 608,699,556,864/511,056
  6. Step 6: Final answer
    x = 1,191,062.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.