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Finding the Third Proportional to 463,059 and 695,682

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Solution

The third proportional to 463,059 and 695,682 is: 1,045,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,059 : 695,682 = 695,682 : x
  2. Step 2: Convert to fraction form
    463,059/695,682 = 695,682/x
  3. Step 3: Cross multiply
    463,059x = 695,682 × 695,682
  4. Step 4: Simplify right side
    463,059x = 483,973,445,124
  5. Step 5: Solve for x
    x = 483,973,445,124/463,059
  6. Step 6: Final answer
    x = 1,045,165.83

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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.