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Finding the Third Proportional to 308,518 and 466,064

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Solution

The third proportional to 308,518 and 466,064 is: 704,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,518 : 466,064 = 466,064 : x
  2. Step 2: Convert to fraction form
    308,518/466,064 = 466,064/x
  3. Step 3: Cross multiply
    308,518x = 466,064 × 466,064
  4. Step 4: Simplify right side
    308,518x = 217,215,652,096
  5. Step 5: Solve for x
    x = 217,215,652,096/308,518
  6. Step 6: Final answer
    x = 704,061.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.