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Finding the Third Proportional to 401,824 and 607,916

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Solution

The third proportional to 401,824 and 607,916 is: 919,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,824 : 607,916 = 607,916 : x
  2. Step 2: Convert to fraction form
    401,824/607,916 = 607,916/x
  3. Step 3: Cross multiply
    401,824x = 607,916 × 607,916
  4. Step 4: Simplify right side
    401,824x = 369,561,863,056
  5. Step 5: Solve for x
    x = 369,561,863,056/401,824
  6. Step 6: Final answer
    x = 919,710.78

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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.