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Finding the Third Proportional to 265,883.77 and 401,990.34

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Solution

The third proportional to 265,883.77 and 401,990.34 is: 607,770.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,883.77 : 401,990.34 = 401,990.34 : x
  2. Step 2: Convert to fraction form
    265,883.77/401,990.34 = 401,990.34/x
  3. Step 3: Cross multiply
    265,883.77x = 401,990.34 × 401,990.34
  4. Step 4: Simplify right side
    265,883.77x = 161,596,236,468.24
  5. Step 5: Solve for x
    x = 161,596,236,468.24/265,883.77
  6. Step 6: Final answer
    x = 607,770.23

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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.