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Finding the Third Proportional to 359,970 and 787,738

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Solution

The third proportional to 359,970 and 787,738 is: 1,723,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,970 : 787,738 = 787,738 : x
  2. Step 2: Convert to fraction form
    359,970/787,738 = 787,738/x
  3. Step 3: Cross multiply
    359,970x = 787,738 × 787,738
  4. Step 4: Simplify right side
    359,970x = 620,531,156,644
  5. Step 5: Solve for x
    x = 620,531,156,644/359,970
  6. Step 6: Final answer
    x = 1,723,841.31

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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.