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Finding the Third Proportional to 262,502 and 393,672

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Solution

The third proportional to 262,502 and 393,672 is: 590,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,502 : 393,672 = 393,672 : x
  2. Step 2: Convert to fraction form
    262,502/393,672 = 393,672/x
  3. Step 3: Cross multiply
    262,502x = 393,672 × 393,672
  4. Step 4: Simplify right side
    262,502x = 154,977,643,584
  5. Step 5: Solve for x
    x = 154,977,643,584/262,502
  6. Step 6: Final answer
    x = 590,386.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.