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Finding the Third Proportional to 288,559.50 and 431,223.75

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Solution

The third proportional to 288,559.50 and 431,223.75 is: 644,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,559.50 : 431,223.75 = 431,223.75 : x
  2. Step 2: Convert to fraction form
    288,559.50/431,223.75 = 431,223.75/x
  3. Step 3: Cross multiply
    288,559.50x = 431,223.75 × 431,223.75
  4. Step 4: Simplify right side
    288,559.50x = 185,953,922,564.06
  5. Step 5: Solve for x
    x = 185,953,922,564.06/288,559.50
  6. Step 6: Final answer
    x = 644,421.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.