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Finding the Third Proportional to 321,950.32 and 509,682.06

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Solution

The third proportional to 321,950.32 and 509,682.06 is: 806,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,950.32 : 509,682.06 = 509,682.06 : x
  2. Step 2: Convert to fraction form
    321,950.32/509,682.06 = 509,682.06/x
  3. Step 3: Cross multiply
    321,950.32x = 509,682.06 × 509,682.06
  4. Step 4: Simplify right side
    321,950.32x = 259,775,800,852.36
  5. Step 5: Solve for x
    x = 259,775,800,852.36/321,950.32
  6. Step 6: Final answer
    x = 806,881.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.