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Finding the Third Proportional to 444,915 and 689,490

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Solution

The third proportional to 444,915 and 689,490 is: 1,068,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,915 : 689,490 = 689,490 : x
  2. Step 2: Convert to fraction form
    444,915/689,490 = 689,490/x
  3. Step 3: Cross multiply
    444,915x = 689,490 × 689,490
  4. Step 4: Simplify right side
    444,915x = 475,396,460,100
  5. Step 5: Solve for x
    x = 475,396,460,100/444,915
  6. Step 6: Final answer
    x = 1,068,510.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.