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Finding the Third Proportional to 373,211 and 799,664

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Solution

The third proportional to 373,211 and 799,664 is: 1,713,407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,211 : 799,664 = 799,664 : x
  2. Step 2: Convert to fraction form
    373,211/799,664 = 799,664/x
  3. Step 3: Cross multiply
    373,211x = 799,664 × 799,664
  4. Step 4: Simplify right side
    373,211x = 639,462,512,896
  5. Step 5: Solve for x
    x = 639,462,512,896/373,211
  6. Step 6: Final answer
    x = 1,713,407.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.