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Finding the Third Proportional to 401,724 and 622,554

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Solution

The third proportional to 401,724 and 622,554 is: 964,775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,724 : 622,554 = 622,554 : x
  2. Step 2: Convert to fraction form
    401,724/622,554 = 622,554/x
  3. Step 3: Cross multiply
    401,724x = 622,554 × 622,554
  4. Step 4: Simplify right side
    401,724x = 387,573,482,916
  5. Step 5: Solve for x
    x = 387,573,482,916/401,724
  6. Step 6: Final answer
    x = 964,775.52

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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.