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Finding the Third Proportional to 402,832 and 853,520

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Solution

The third proportional to 402,832 and 853,520 is: 1,808,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,832 : 853,520 = 853,520 : x
  2. Step 2: Convert to fraction form
    402,832/853,520 = 853,520/x
  3. Step 3: Cross multiply
    402,832x = 853,520 × 853,520
  4. Step 4: Simplify right side
    402,832x = 728,496,390,400
  5. Step 5: Solve for x
    x = 728,496,390,400/402,832
  6. Step 6: Final answer
    x = 1,808,437.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.