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Finding the Third Proportional to 310,723.50 and 479,823

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Solution

The third proportional to 310,723.50 and 479,823 is: 740,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,723.50 : 479,823 = 479,823 : x
  2. Step 2: Convert to fraction form
    310,723.50/479,823 = 479,823/x
  3. Step 3: Cross multiply
    310,723.50x = 479,823 × 479,823
  4. Step 4: Simplify right side
    310,723.50x = 230,230,111,329
  5. Step 5: Solve for x
    x = 230,230,111,329/310,723.50
  6. Step 6: Final answer
    x = 740,948.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.