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Finding the Third Proportional to 401,823 and 545,724

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Solution

The third proportional to 401,823 and 545,724 is: 741,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,823 : 545,724 = 545,724 : x
  2. Step 2: Convert to fraction form
    401,823/545,724 = 545,724/x
  3. Step 3: Cross multiply
    401,823x = 545,724 × 545,724
  4. Step 4: Simplify right side
    401,823x = 297,814,684,176
  5. Step 5: Solve for x
    x = 297,814,684,176/401,823
  6. Step 6: Final answer
    x = 741,158.88

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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.