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Finding the Third Proportional to 320,497.50 and 464,210.25

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Solution

The third proportional to 320,497.50 and 464,210.25 is: 672,364.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,497.50 : 464,210.25 = 464,210.25 : x
  2. Step 2: Convert to fraction form
    320,497.50/464,210.25 = 464,210.25/x
  3. Step 3: Cross multiply
    320,497.50x = 464,210.25 × 464,210.25
  4. Step 4: Simplify right side
    320,497.50x = 215,491,156,205.06
  5. Step 5: Solve for x
    x = 215,491,156,205.06/320,497.50
  6. Step 6: Final answer
    x = 672,364.55

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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.