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Finding the Third Proportional to 546,288.75 and 856,965.38

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Solution

The third proportional to 546,288.75 and 856,965.38 is: 1,344,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,288.75 : 856,965.38 = 856,965.38 : x
  2. Step 2: Convert to fraction form
    546,288.75/856,965.38 = 856,965.38/x
  3. Step 3: Cross multiply
    546,288.75x = 856,965.38 × 856,965.38
  4. Step 4: Simplify right side
    546,288.75x = 734,389,653,948.89
  5. Step 5: Solve for x
    x = 734,389,653,948.89/546,288.75
  6. Step 6: Final answer
    x = 1,344,325.06

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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.