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Finding the Third Proportional to 359,923.50 and 833,244.75

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Solution

The third proportional to 359,923.50 and 833,244.75 is: 1,929,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,923.50 : 833,244.75 = 833,244.75 : x
  2. Step 2: Convert to fraction form
    359,923.50/833,244.75 = 833,244.75/x
  3. Step 3: Cross multiply
    359,923.50x = 833,244.75 × 833,244.75
  4. Step 4: Simplify right side
    359,923.50x = 694,296,813,402.56
  5. Step 5: Solve for x
    x = 694,296,813,402.56/359,923.50
  6. Step 6: Final answer
    x = 1,929,012.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.