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Finding the Third Proportional to 360,714 and 775,695

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Solution

The third proportional to 360,714 and 775,695 is: 1,668,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,714 : 775,695 = 775,695 : x
  2. Step 2: Convert to fraction form
    360,714/775,695 = 775,695/x
  3. Step 3: Cross multiply
    360,714x = 775,695 × 775,695
  4. Step 4: Simplify right side
    360,714x = 601,702,733,025
  5. Step 5: Solve for x
    x = 601,702,733,025/360,714
  6. Step 6: Final answer
    x = 1,668,088.11

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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.