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Finding the Third Proportional to 354,720 and 532,064

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Solution

The third proportional to 354,720 and 532,064 is: 798,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,720 : 532,064 = 532,064 : x
  2. Step 2: Convert to fraction form
    354,720/532,064 = 532,064/x
  3. Step 3: Cross multiply
    354,720x = 532,064 × 532,064
  4. Step 4: Simplify right side
    354,720x = 283,092,100,096
  5. Step 5: Solve for x
    x = 283,092,100,096/354,720
  6. Step 6: Final answer
    x = 798,072.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.