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Finding the Third Proportional to 376,535.25 and 526,662

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Solution

The third proportional to 376,535.25 and 526,662 is: 736,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,535.25 : 526,662 = 526,662 : x
  2. Step 2: Convert to fraction form
    376,535.25/526,662 = 526,662/x
  3. Step 3: Cross multiply
    376,535.25x = 526,662 × 526,662
  4. Step 4: Simplify right side
    376,535.25x = 277,372,862,244
  5. Step 5: Solve for x
    x = 277,372,862,244/376,535.25
  6. Step 6: Final answer
    x = 736,645.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.