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Finding the Third Proportional to 326,215.50 and 716,583

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Solution

The third proportional to 326,215.50 and 716,583 is: 1,574,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,215.50 : 716,583 = 716,583 : x
  2. Step 2: Convert to fraction form
    326,215.50/716,583 = 716,583/x
  3. Step 3: Cross multiply
    326,215.50x = 716,583 × 716,583
  4. Step 4: Simplify right side
    326,215.50x = 513,491,195,889
  5. Step 5: Solve for x
    x = 513,491,195,889/326,215.50
  6. Step 6: Final answer
    x = 1,574,085.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.