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Finding the Third Proportional to 476,535.66 and 929,125.69

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Solution

The third proportional to 476,535.66 and 929,125.69 is: 1,811,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,535.66 : 929,125.69 = 929,125.69 : x
  2. Step 2: Convert to fraction form
    476,535.66/929,125.69 = 929,125.69/x
  3. Step 3: Cross multiply
    476,535.66x = 929,125.69 × 929,125.69
  4. Step 4: Simplify right side
    476,535.66x = 863,274,543,172.35
  5. Step 5: Solve for x
    x = 863,274,543,172.35/476,535.66
  6. Step 6: Final answer
    x = 1,811,563.38

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.