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Finding the Third Proportional to 402,304 and 851,262

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Solution

The third proportional to 402,304 and 851,262 is: 1,801,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,304 : 851,262 = 851,262 : x
  2. Step 2: Convert to fraction form
    402,304/851,262 = 851,262/x
  3. Step 3: Cross multiply
    402,304x = 851,262 × 851,262
  4. Step 4: Simplify right side
    402,304x = 724,646,992,644
  5. Step 5: Solve for x
    x = 724,646,992,644/402,304
  6. Step 6: Final answer
    x = 1,801,242.33

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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.