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Finding the Third Proportional to 268,898 and 586,964

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Solution

The third proportional to 268,898 and 586,964 is: 1,281,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,898 : 586,964 = 586,964 : x
  2. Step 2: Convert to fraction form
    268,898/586,964 = 586,964/x
  3. Step 3: Cross multiply
    268,898x = 586,964 × 586,964
  4. Step 4: Simplify right side
    268,898x = 344,526,737,296
  5. Step 5: Solve for x
    x = 344,526,737,296/268,898
  6. Step 6: Final answer
    x = 1,281,254.37

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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.