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Finding the Third Proportional to 588,082 and 864,892

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Solution

The third proportional to 588,082 and 864,892 is: 1,271,996.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,082 : 864,892 = 864,892 : x
  2. Step 2: Convert to fraction form
    588,082/864,892 = 864,892/x
  3. Step 3: Cross multiply
    588,082x = 864,892 × 864,892
  4. Step 4: Simplify right side
    588,082x = 748,038,171,664
  5. Step 5: Solve for x
    x = 748,038,171,664/588,082
  6. Step 6: Final answer
    x = 1,271,996.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.