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Finding the Third Proportional to 554,082 and 739,467

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Solution

The third proportional to 554,082 and 739,467 is: 986,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,082 : 739,467 = 739,467 : x
  2. Step 2: Convert to fraction form
    554,082/739,467 = 739,467/x
  3. Step 3: Cross multiply
    554,082x = 739,467 × 739,467
  4. Step 4: Simplify right side
    554,082x = 546,811,444,089
  5. Step 5: Solve for x
    x = 546,811,444,089/554,082
  6. Step 6: Final answer
    x = 986,878.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.