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Finding the Third Proportional to 401,824 and 606,812

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Solution

The third proportional to 401,824 and 606,812 is: 916,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,824 : 606,812 = 606,812 : x
  2. Step 2: Convert to fraction form
    401,824/606,812 = 606,812/x
  3. Step 3: Cross multiply
    401,824x = 606,812 × 606,812
  4. Step 4: Simplify right side
    401,824x = 368,220,803,344
  5. Step 5: Solve for x
    x = 368,220,803,344/401,824
  6. Step 6: Final answer
    x = 916,373.35

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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.