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Finding the Third Proportional to 303,541.17 and 438,527.67

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Solution

The third proportional to 303,541.17 and 438,527.67 is: 633,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,541.17 : 438,527.67 = 438,527.67 : x
  2. Step 2: Convert to fraction form
    303,541.17/438,527.67 = 438,527.67/x
  3. Step 3: Cross multiply
    303,541.17x = 438,527.67 × 438,527.67
  4. Step 4: Simplify right side
    303,541.17x = 192,306,519,000.11
  5. Step 5: Solve for x
    x = 192,306,519,000.11/303,541.17
  6. Step 6: Final answer
    x = 633,543.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.