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Finding the Third Proportional to 546,618.38 and 857,405.25

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Solution

The third proportional to 546,618.38 and 857,405.25 is: 1,344,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,618.38 : 857,405.25 = 857,405.25 : x
  2. Step 2: Convert to fraction form
    546,618.38/857,405.25 = 857,405.25/x
  3. Step 3: Cross multiply
    546,618.38x = 857,405.25 × 857,405.25
  4. Step 4: Simplify right side
    546,618.38x = 735,143,762,727.56
  5. Step 5: Solve for x
    x = 735,143,762,727.56/546,618.38
  6. Step 6: Final answer
    x = 1,344,893.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.