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Finding the Third Proportional to 416,106 and 626,553

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Solution

The third proportional to 416,106 and 626,553 is: 943,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,106 : 626,553 = 626,553 : x
  2. Step 2: Convert to fraction form
    416,106/626,553 = 626,553/x
  3. Step 3: Cross multiply
    416,106x = 626,553 × 626,553
  4. Step 4: Simplify right side
    416,106x = 392,568,661,809
  5. Step 5: Solve for x
    x = 392,568,661,809/416,106
  6. Step 6: Final answer
    x = 943,434.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.