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Finding the Third Proportional to 436,800 and 586,964

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Solution

The third proportional to 436,800 and 586,964 is: 788,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,800 : 586,964 = 586,964 : x
  2. Step 2: Convert to fraction form
    436,800/586,964 = 586,964/x
  3. Step 3: Cross multiply
    436,800x = 586,964 × 586,964
  4. Step 4: Simplify right side
    436,800x = 344,526,737,296
  5. Step 5: Solve for x
    x = 344,526,737,296/436,800
  6. Step 6: Final answer
    x = 788,751.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.