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Finding the Third Proportional to 320,499 and 464,212.50

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Solution

The third proportional to 320,499 and 464,212.50 is: 672,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,499 : 464,212.50 = 464,212.50 : x
  2. Step 2: Convert to fraction form
    320,499/464,212.50 = 464,212.50/x
  3. Step 3: Cross multiply
    320,499x = 464,212.50 × 464,212.50
  4. Step 4: Simplify right side
    320,499x = 215,493,245,156.25
  5. Step 5: Solve for x
    x = 215,493,245,156.25/320,499
  6. Step 6: Final answer
    x = 672,367.92

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.