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Finding the Third Proportional to 364,746 and 545,661

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Solution

The third proportional to 364,746 and 545,661 is: 816,310.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,746 : 545,661 = 545,661 : x
  2. Step 2: Convert to fraction form
    364,746/545,661 = 545,661/x
  3. Step 3: Cross multiply
    364,746x = 545,661 × 545,661
  4. Step 4: Simplify right side
    364,746x = 297,745,926,921
  5. Step 5: Solve for x
    x = 297,745,926,921/364,746
  6. Step 6: Final answer
    x = 816,310.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.