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Finding the Third Proportional to 262,084 and 392,714

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Solution

The third proportional to 262,084 and 392,714 is: 588,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,084 : 392,714 = 392,714 : x
  2. Step 2: Convert to fraction form
    262,084/392,714 = 392,714/x
  3. Step 3: Cross multiply
    262,084x = 392,714 × 392,714
  4. Step 4: Simplify right side
    262,084x = 154,224,285,796
  5. Step 5: Solve for x
    x = 154,224,285,796/262,084
  6. Step 6: Final answer
    x = 588,453.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.