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Finding the Third Proportional to 331,416 and 510,064

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Solution

The third proportional to 331,416 and 510,064 is: 785,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,416 : 510,064 = 510,064 : x
  2. Step 2: Convert to fraction form
    331,416/510,064 = 510,064/x
  3. Step 3: Cross multiply
    331,416x = 510,064 × 510,064
  4. Step 4: Simplify right side
    331,416x = 260,165,284,096
  5. Step 5: Solve for x
    x = 260,165,284,096/331,416
  6. Step 6: Final answer
    x = 785,011.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.