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Finding the Third Proportional to 301,185 and 401,526

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Solution

The third proportional to 301,185 and 401,526 is: 535,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,185 : 401,526 = 401,526 : x
  2. Step 2: Convert to fraction form
    301,185/401,526 = 401,526/x
  3. Step 3: Cross multiply
    301,185x = 401,526 × 401,526
  4. Step 4: Simplify right side
    301,185x = 161,223,128,676
  5. Step 5: Solve for x
    x = 161,223,128,676/301,185
  6. Step 6: Final answer
    x = 535,296.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.