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Finding the Third Proportional to 359,640.25 and 787,008.25

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Solution

The third proportional to 359,640.25 and 787,008.25 is: 1,722,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,640.25 : 787,008.25 = 787,008.25 : x
  2. Step 2: Convert to fraction form
    359,640.25/787,008.25 = 787,008.25/x
  3. Step 3: Cross multiply
    359,640.25x = 787,008.25 × 787,008.25
  4. Step 4: Simplify right side
    359,640.25x = 619,381,985,568.06
  5. Step 5: Solve for x
    x = 619,381,985,568.06/359,640.25
  6. Step 6: Final answer
    x = 1,722,226.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.