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Finding the Third Proportional to 445,038 and 689,546

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Solution

The third proportional to 445,038 and 689,546 is: 1,068,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,038 : 689,546 = 689,546 : x
  2. Step 2: Convert to fraction form
    445,038/689,546 = 689,546/x
  3. Step 3: Cross multiply
    445,038x = 689,546 × 689,546
  4. Step 4: Simplify right side
    445,038x = 475,473,686,116
  5. Step 5: Solve for x
    x = 475,473,686,116/445,038
  6. Step 6: Final answer
    x = 1,068,388.96

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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.