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Finding the Third Proportional to 364,896 and 545,878

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Solution

The third proportional to 364,896 and 545,878 is: 816,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,896 : 545,878 = 545,878 : x
  2. Step 2: Convert to fraction form
    364,896/545,878 = 545,878/x
  3. Step 3: Cross multiply
    364,896x = 545,878 × 545,878
  4. Step 4: Simplify right side
    364,896x = 297,982,790,884
  5. Step 5: Solve for x
    x = 297,982,790,884/364,896
  6. Step 6: Final answer
    x = 816,623.89

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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.