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Finding the Third Proportional to 571,426 and 854,333

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Solution

The third proportional to 571,426 and 854,333 is: 1,277,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,426 : 854,333 = 854,333 : x
  2. Step 2: Convert to fraction form
    571,426/854,333 = 854,333/x
  3. Step 3: Cross multiply
    571,426x = 854,333 × 854,333
  4. Step 4: Simplify right side
    571,426x = 729,884,874,889
  5. Step 5: Solve for x
    x = 729,884,874,889/571,426
  6. Step 6: Final answer
    x = 1,277,304.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.