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Finding the Third Proportional to 364,432 and 799,064

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Solution

The third proportional to 364,432 and 799,064 is: 1,752,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,432 : 799,064 = 799,064 : x
  2. Step 2: Convert to fraction form
    364,432/799,064 = 799,064/x
  3. Step 3: Cross multiply
    364,432x = 799,064 × 799,064
  4. Step 4: Simplify right side
    364,432x = 638,503,276,096
  5. Step 5: Solve for x
    x = 638,503,276,096/364,432
  6. Step 6: Final answer
    x = 1,752,050.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.