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Finding the Third Proportional to 262,078 and 419,725

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Solution

The third proportional to 262,078 and 419,725 is: 672,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,078 : 419,725 = 419,725 : x
  2. Step 2: Convert to fraction form
    262,078/419,725 = 419,725/x
  3. Step 3: Cross multiply
    262,078x = 419,725 × 419,725
  4. Step 4: Simplify right side
    262,078x = 176,169,075,625
  5. Step 5: Solve for x
    x = 176,169,075,625/262,078
  6. Step 6: Final answer
    x = 672,200.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.