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Finding the Third Proportional to 361,698 and 812,352

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Solution

The third proportional to 361,698 and 812,352 is: 1,824,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,698 : 812,352 = 812,352 : x
  2. Step 2: Convert to fraction form
    361,698/812,352 = 812,352/x
  3. Step 3: Cross multiply
    361,698x = 812,352 × 812,352
  4. Step 4: Simplify right side
    361,698x = 659,915,771,904
  5. Step 5: Solve for x
    x = 659,915,771,904/361,698
  6. Step 6: Final answer
    x = 1,824,493.84

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.