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Finding the Third Proportional to 445,360 and 689,680

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Solution

The third proportional to 445,360 and 689,680 is: 1,068,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,360 : 689,680 = 689,680 : x
  2. Step 2: Convert to fraction form
    445,360/689,680 = 689,680/x
  3. Step 3: Cross multiply
    445,360x = 689,680 × 689,680
  4. Step 4: Simplify right side
    445,360x = 475,658,502,400
  5. Step 5: Solve for x
    x = 475,658,502,400/445,360
  6. Step 6: Final answer
    x = 1,068,031.49

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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.