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Finding the Third Proportional to 544,292 and 858,178

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Solution

The third proportional to 544,292 and 858,178 is: 1,353,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,292 : 858,178 = 858,178 : x
  2. Step 2: Convert to fraction form
    544,292/858,178 = 858,178/x
  3. Step 3: Cross multiply
    544,292x = 858,178 × 858,178
  4. Step 4: Simplify right side
    544,292x = 736,469,479,684
  5. Step 5: Solve for x
    x = 736,469,479,684/544,292
  6. Step 6: Final answer
    x = 1,353,077.91

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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.