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Finding the Third Proportional to 401,895 and 545,811.75

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Solution

The third proportional to 401,895 and 545,811.75 is: 741,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,895 : 545,811.75 = 545,811.75 : x
  2. Step 2: Convert to fraction form
    401,895/545,811.75 = 545,811.75/x
  3. Step 3: Cross multiply
    401,895x = 545,811.75 × 545,811.75
  4. Step 4: Simplify right side
    401,895x = 297,910,466,438.06
  5. Step 5: Solve for x
    x = 297,910,466,438.06/401,895
  6. Step 6: Final answer
    x = 741,264.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.