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Finding the Third Proportional to 368,478 and 799,164

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Solution

The third proportional to 368,478 and 799,164 is: 1,733,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,478 : 799,164 = 799,164 : x
  2. Step 2: Convert to fraction form
    368,478/799,164 = 799,164/x
  3. Step 3: Cross multiply
    368,478x = 799,164 × 799,164
  4. Step 4: Simplify right side
    368,478x = 638,663,098,896
  5. Step 5: Solve for x
    x = 638,663,098,896/368,478
  6. Step 6: Final answer
    x = 1,733,246.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.