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Finding the Third Proportional to 303,304.50 and 656,353.13

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Solution

The third proportional to 303,304.50 and 656,353.13 is: 1,420,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,304.50 : 656,353.13 = 656,353.13 : x
  2. Step 2: Convert to fraction form
    303,304.50/656,353.13 = 656,353.13/x
  3. Step 3: Cross multiply
    303,304.50x = 656,353.13 × 656,353.13
  4. Step 4: Simplify right side
    303,304.50x = 430,799,424,697.27
  5. Step 5: Solve for x
    x = 430,799,424,697.27/303,304.50
  6. Step 6: Final answer
    x = 1,420,352.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.