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Finding the Third Proportional to 316,879.17 and 704,596.64

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Solution

The third proportional to 316,879.17 and 704,596.64 is: 1,566,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,879.17 : 704,596.64 = 704,596.64 : x
  2. Step 2: Convert to fraction form
    316,879.17/704,596.64 = 704,596.64/x
  3. Step 3: Cross multiply
    316,879.17x = 704,596.64 × 704,596.64
  4. Step 4: Simplify right side
    316,879.17x = 496,456,425,980.04
  5. Step 5: Solve for x
    x = 496,456,425,980.04/316,879.17
  6. Step 6: Final answer
    x = 1,566,705.77

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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.