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Finding the Third Proportional to 364,753.13 and 545,671.69

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Solution

The third proportional to 364,753.13 and 545,671.69 is: 816,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,753.13 : 545,671.69 = 545,671.69 : x
  2. Step 2: Convert to fraction form
    364,753.13/545,671.69 = 545,671.69/x
  3. Step 3: Cross multiply
    364,753.13x = 545,671.69 × 545,671.69
  4. Step 4: Simplify right side
    364,753.13x = 297,757,590,539.10
  5. Step 5: Solve for x
    x = 297,757,590,539.10/364,753.13
  6. Step 6: Final answer
    x = 816,326.36

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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.