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Finding the Third Proportional to 317,762 and 465,951

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Solution

The third proportional to 317,762 and 465,951 is: 683,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,762 : 465,951 = 465,951 : x
  2. Step 2: Convert to fraction form
    317,762/465,951 = 465,951/x
  3. Step 3: Cross multiply
    317,762x = 465,951 × 465,951
  4. Step 4: Simplify right side
    317,762x = 217,110,334,401
  5. Step 5: Solve for x
    x = 217,110,334,401/317,762
  6. Step 6: Final answer
    x = 683,248.26

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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.