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Finding the Third Proportional to 365,530.50 and 545,265

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Solution

The third proportional to 365,530.50 and 545,265 is: 813,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,530.50 : 545,265 = 545,265 : x
  2. Step 2: Convert to fraction form
    365,530.50/545,265 = 545,265/x
  3. Step 3: Cross multiply
    365,530.50x = 545,265 × 545,265
  4. Step 4: Simplify right side
    365,530.50x = 297,313,920,225
  5. Step 5: Solve for x
    x = 297,313,920,225/365,530.50
  6. Step 6: Final answer
    x = 813,376.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.