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Finding the Third Proportional to 364,864.50 and 545,838.75

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Solution

The third proportional to 364,864.50 and 545,838.75 is: 816,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,864.50 : 545,838.75 = 545,838.75 : x
  2. Step 2: Convert to fraction form
    364,864.50/545,838.75 = 545,838.75/x
  3. Step 3: Cross multiply
    364,864.50x = 545,838.75 × 545,838.75
  4. Step 4: Simplify right side
    364,864.50x = 297,939,941,001.56
  5. Step 5: Solve for x
    x = 297,939,941,001.56/364,864.50
  6. Step 6: Final answer
    x = 816,576.95

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