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Finding the Third Proportional to 546,738.75 and 769,587.75

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Solution

The third proportional to 546,738.75 and 769,587.75 is: 1,083,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,738.75 : 769,587.75 = 769,587.75 : x
  2. Step 2: Convert to fraction form
    546,738.75/769,587.75 = 769,587.75/x
  3. Step 3: Cross multiply
    546,738.75x = 769,587.75 × 769,587.75
  4. Step 4: Simplify right side
    546,738.75x = 592,265,304,950.06
  5. Step 5: Solve for x
    x = 592,265,304,950.06/546,738.75
  6. Step 6: Final answer
    x = 1,083,269.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.