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Finding the Third Proportional to 359,037 and 536,013

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Solution

The third proportional to 359,037 and 536,013 is: 800,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,037 : 536,013 = 536,013 : x
  2. Step 2: Convert to fraction form
    359,037/536,013 = 536,013/x
  3. Step 3: Cross multiply
    359,037x = 536,013 × 536,013
  4. Step 4: Simplify right side
    359,037x = 287,309,936,169
  5. Step 5: Solve for x
    x = 287,309,936,169/359,037
  6. Step 6: Final answer
    x = 800,223.75

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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.