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Finding the Third Proportional to 318,064 and 430,440

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Solution

The third proportional to 318,064 and 430,440 is: 582,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,064 : 430,440 = 430,440 : x
  2. Step 2: Convert to fraction form
    318,064/430,440 = 430,440/x
  3. Step 3: Cross multiply
    318,064x = 430,440 × 430,440
  4. Step 4: Simplify right side
    318,064x = 185,278,593,600
  5. Step 5: Solve for x
    x = 185,278,593,600/318,064
  6. Step 6: Final answer
    x = 582,519.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.