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Finding the Third Proportional to 401,160 and 854,304

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Solution

The third proportional to 401,160 and 854,304 is: 1,819,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,160 : 854,304 = 854,304 : x
  2. Step 2: Convert to fraction form
    401,160/854,304 = 854,304/x
  3. Step 3: Cross multiply
    401,160x = 854,304 × 854,304
  4. Step 4: Simplify right side
    401,160x = 729,835,324,416
  5. Step 5: Solve for x
    x = 729,835,324,416/401,160
  6. Step 6: Final answer
    x = 1,819,312.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.