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Finding the Third Proportional to 359,696 and 771,880

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Solution

The third proportional to 359,696 and 771,880 is: 1,656,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,696 : 771,880 = 771,880 : x
  2. Step 2: Convert to fraction form
    359,696/771,880 = 771,880/x
  3. Step 3: Cross multiply
    359,696x = 771,880 × 771,880
  4. Step 4: Simplify right side
    359,696x = 595,798,734,400
  5. Step 5: Solve for x
    x = 595,798,734,400/359,696
  6. Step 6: Final answer
    x = 1,656,395.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.