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Finding the Third Proportional to 360,082 and 784,964

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Solution

The third proportional to 360,082 and 784,964 is: 1,711,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,082 : 784,964 = 784,964 : x
  2. Step 2: Convert to fraction form
    360,082/784,964 = 784,964/x
  3. Step 3: Cross multiply
    360,082x = 784,964 × 784,964
  4. Step 4: Simplify right side
    360,082x = 616,168,481,296
  5. Step 5: Solve for x
    x = 616,168,481,296/360,082
  6. Step 6: Final answer
    x = 1,711,189.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.