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Finding the Third Proportional to 340,852 and 500,766

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Solution

The third proportional to 340,852 and 500,766 is: 735,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,852 : 500,766 = 500,766 : x
  2. Step 2: Convert to fraction form
    340,852/500,766 = 500,766/x
  3. Step 3: Cross multiply
    340,852x = 500,766 × 500,766
  4. Step 4: Simplify right side
    340,852x = 250,766,586,756
  5. Step 5: Solve for x
    x = 250,766,586,756/340,852
  6. Step 6: Final answer
    x = 735,705.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.