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Finding the Third Proportional to 359,952 and 787,704

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Solution

The third proportional to 359,952 and 787,704 is: 1,723,778.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,952 : 787,704 = 787,704 : x
  2. Step 2: Convert to fraction form
    359,952/787,704 = 787,704/x
  3. Step 3: Cross multiply
    359,952x = 787,704 × 787,704
  4. Step 4: Simplify right side
    359,952x = 620,477,591,616
  5. Step 5: Solve for x
    x = 620,477,591,616/359,952
  6. Step 6: Final answer
    x = 1,723,778.70

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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.