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Finding the Third Proportional to 361,756 and 560,714

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Solution

The third proportional to 361,756 and 560,714 is: 869,094.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,756 : 560,714 = 560,714 : x
  2. Step 2: Convert to fraction form
    361,756/560,714 = 560,714/x
  3. Step 3: Cross multiply
    361,756x = 560,714 × 560,714
  4. Step 4: Simplify right side
    361,756x = 314,400,189,796
  5. Step 5: Solve for x
    x = 314,400,189,796/361,756
  6. Step 6: Final answer
    x = 869,094.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.