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Finding the Third Proportional to 489,396 and 689,184

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Solution

The third proportional to 489,396 and 689,184 is: 970,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,396 : 689,184 = 689,184 : x
  2. Step 2: Convert to fraction form
    489,396/689,184 = 689,184/x
  3. Step 3: Cross multiply
    489,396x = 689,184 × 689,184
  4. Step 4: Simplify right side
    489,396x = 474,974,585,856
  5. Step 5: Solve for x
    x = 474,974,585,856/489,396
  6. Step 6: Final answer
    x = 970,532.22

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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.