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Finding the Third Proportional to 489,465 and 689,286

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Solution

The third proportional to 489,465 and 689,286 is: 970,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,465 : 689,286 = 689,286 : x
  2. Step 2: Convert to fraction form
    489,465/689,286 = 689,286/x
  3. Step 3: Cross multiply
    489,465x = 689,286 × 689,286
  4. Step 4: Simplify right side
    489,465x = 475,115,189,796
  5. Step 5: Solve for x
    x = 475,115,189,796/489,465
  6. Step 6: Final answer
    x = 970,682.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.