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Finding the Third Proportional to 340,030 and 524,675

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Solution

The third proportional to 340,030 and 524,675 is: 809,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,030 : 524,675 = 524,675 : x
  2. Step 2: Convert to fraction form
    340,030/524,675 = 524,675/x
  3. Step 3: Cross multiply
    340,030x = 524,675 × 524,675
  4. Step 4: Simplify right side
    340,030x = 275,283,855,625
  5. Step 5: Solve for x
    x = 275,283,855,625/340,030
  6. Step 6: Final answer
    x = 809,586.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.