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Finding the Third Proportional to 359,955 and 787,698

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Solution

The third proportional to 359,955 and 787,698 is: 1,723,738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,955 : 787,698 = 787,698 : x
  2. Step 2: Convert to fraction form
    359,955/787,698 = 787,698/x
  3. Step 3: Cross multiply
    359,955x = 787,698 × 787,698
  4. Step 4: Simplify right side
    359,955x = 620,468,139,204
  5. Step 5: Solve for x
    x = 620,468,139,204/359,955
  6. Step 6: Final answer
    x = 1,723,738.08

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Why These Related Problems?

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