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Finding the Third Proportional to 316,851.75 and 704,544.75

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Solution

The third proportional to 316,851.75 and 704,544.75 is: 1,566,610.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,851.75 : 704,544.75 = 704,544.75 : x
  2. Step 2: Convert to fraction form
    316,851.75/704,544.75 = 704,544.75/x
  3. Step 3: Cross multiply
    316,851.75x = 704,544.75 × 704,544.75
  4. Step 4: Simplify right side
    316,851.75x = 496,383,304,752.56
  5. Step 5: Solve for x
    x = 496,383,304,752.56/316,851.75
  6. Step 6: Final answer
    x = 1,566,610.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.