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Finding the Third Proportional to 288,324 and 443,770

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Solution

The third proportional to 288,324 and 443,770 is: 683,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,324 : 443,770 = 443,770 : x
  2. Step 2: Convert to fraction form
    288,324/443,770 = 443,770/x
  3. Step 3: Cross multiply
    288,324x = 443,770 × 443,770
  4. Step 4: Simplify right side
    288,324x = 196,931,812,900
  5. Step 5: Solve for x
    x = 196,931,812,900/288,324
  6. Step 6: Final answer
    x = 683,022.62

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Why These Related Problems?

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