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Finding the Third Proportional to 313,563.66 and 462,964.36

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Solution

The third proportional to 313,563.66 and 462,964.36 is: 683,548.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,563.66 : 462,964.36 = 462,964.36 : x
  2. Step 2: Convert to fraction form
    313,563.66/462,964.36 = 462,964.36/x
  3. Step 3: Cross multiply
    313,563.66x = 462,964.36 × 462,964.36
  4. Step 4: Simplify right side
    313,563.66x = 214,335,998,051.50
  5. Step 5: Solve for x
    x = 214,335,998,051.50/313,563.66
  6. Step 6: Final answer
    x = 683,548.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.