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Finding the Third Proportional to 317,764 and 465,954

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Solution

The third proportional to 317,764 and 465,954 is: 683,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,764 : 465,954 = 465,954 : x
  2. Step 2: Convert to fraction form
    317,764/465,954 = 465,954/x
  3. Step 3: Cross multiply
    317,764x = 465,954 × 465,954
  4. Step 4: Simplify right side
    317,764x = 217,113,130,116
  5. Step 5: Solve for x
    x = 217,113,130,116/317,764
  6. Step 6: Final answer
    x = 683,252.76

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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.