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Finding the Third Proportional to 373,824 and 830,592

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Solution

The third proportional to 373,824 and 830,592 is: 1,845,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,824 : 830,592 = 830,592 : x
  2. Step 2: Convert to fraction form
    373,824/830,592 = 830,592/x
  3. Step 3: Cross multiply
    373,824x = 830,592 × 830,592
  4. Step 4: Simplify right side
    373,824x = 689,883,070,464
  5. Step 5: Solve for x
    x = 689,883,070,464/373,824
  6. Step 6: Final answer
    x = 1,845,475.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.