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Finding the Third Proportional to 553,678 and 854,127.75

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Solution

The third proportional to 553,678 and 854,127.75 is: 1,317,614.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,678 : 854,127.75 = 854,127.75 : x
  2. Step 2: Convert to fraction form
    553,678/854,127.75 = 854,127.75/x
  3. Step 3: Cross multiply
    553,678x = 854,127.75 × 854,127.75
  4. Step 4: Simplify right side
    553,678x = 729,534,213,320.06
  5. Step 5: Solve for x
    x = 729,534,213,320.06/553,678
  6. Step 6: Final answer
    x = 1,317,614.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.