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Finding the Third Proportional to 321,782.50 and 423,143.75

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Solution

The third proportional to 321,782.50 and 423,143.75 is: 556,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,782.50 : 423,143.75 = 423,143.75 : x
  2. Step 2: Convert to fraction form
    321,782.50/423,143.75 = 423,143.75/x
  3. Step 3: Cross multiply
    321,782.50x = 423,143.75 × 423,143.75
  4. Step 4: Simplify right side
    321,782.50x = 179,050,633,164.06
  5. Step 5: Solve for x
    x = 179,050,633,164.06/321,782.50
  6. Step 6: Final answer
    x = 556,433.72

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.