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Finding the Third Proportional to 265,075 and 401,469

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Solution

The third proportional to 265,075 and 401,469 is: 608,044.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,075 : 401,469 = 401,469 : x
  2. Step 2: Convert to fraction form
    265,075/401,469 = 401,469/x
  3. Step 3: Cross multiply
    265,075x = 401,469 × 401,469
  4. Step 4: Simplify right side
    265,075x = 161,177,357,961
  5. Step 5: Solve for x
    x = 161,177,357,961/265,075
  6. Step 6: Final answer
    x = 608,044.36

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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.