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Finding the Third Proportional to 321,933 and 512,452.50

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Solution

The third proportional to 321,933 and 512,452.50 is: 815,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,933 : 512,452.50 = 512,452.50 : x
  2. Step 2: Convert to fraction form
    321,933/512,452.50 = 512,452.50/x
  3. Step 3: Cross multiply
    321,933x = 512,452.50 × 512,452.50
  4. Step 4: Simplify right side
    321,933x = 262,607,564,756.25
  5. Step 5: Solve for x
    x = 262,607,564,756.25/321,933
  6. Step 6: Final answer
    x = 815,721.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.