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Finding the Third Proportional to 262,506 and 393,675

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Solution

The third proportional to 262,506 and 393,675 is: 590,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,506 : 393,675 = 393,675 : x
  2. Step 2: Convert to fraction form
    262,506/393,675 = 393,675/x
  3. Step 3: Cross multiply
    262,506x = 393,675 × 393,675
  4. Step 4: Simplify right side
    262,506x = 154,980,005,625
  5. Step 5: Solve for x
    x = 154,980,005,625/262,506
  6. Step 6: Final answer
    x = 590,386.53

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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.