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Finding the Third Proportional to 544,185 and 858,012

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Solution

The third proportional to 544,185 and 858,012 is: 1,352,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,185 : 858,012 = 858,012 : x
  2. Step 2: Convert to fraction form
    544,185/858,012 = 858,012/x
  3. Step 3: Cross multiply
    544,185x = 858,012 × 858,012
  4. Step 4: Simplify right side
    544,185x = 736,184,592,144
  5. Step 5: Solve for x
    x = 736,184,592,144/544,185
  6. Step 6: Final answer
    x = 1,352,820.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.