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Finding the Third Proportional to 262,704 and 384,840

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Solution

The third proportional to 262,704 and 384,840 is: 563,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,704 : 384,840 = 384,840 : x
  2. Step 2: Convert to fraction form
    262,704/384,840 = 384,840/x
  3. Step 3: Cross multiply
    262,704x = 384,840 × 384,840
  4. Step 4: Simplify right side
    262,704x = 148,101,825,600
  5. Step 5: Solve for x
    x = 148,101,825,600/262,704
  6. Step 6: Final answer
    x = 563,759.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.