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Finding the Third Proportional to 411,527.25 and 618,384.38

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Solution

The third proportional to 411,527.25 and 618,384.38 is: 929,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,527.25 : 618,384.38 = 618,384.38 : x
  2. Step 2: Convert to fraction form
    411,527.25/618,384.38 = 618,384.38/x
  3. Step 3: Cross multiply
    411,527.25x = 618,384.38 × 618,384.38
  4. Step 4: Simplify right side
    411,527.25x = 382,399,235,244.14
  5. Step 5: Solve for x
    x = 382,399,235,244.14/411,527.25
  6. Step 6: Final answer
    x = 929,219.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.