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Finding the Third Proportional to 237,705 and 518,055

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Solution

The third proportional to 237,705 and 518,055 is: 1,129,050.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,705 : 518,055 = 518,055 : x
  2. Step 2: Convert to fraction form
    237,705/518,055 = 518,055/x
  3. Step 3: Cross multiply
    237,705x = 518,055 × 518,055
  4. Step 4: Simplify right side
    237,705x = 268,380,983,025
  5. Step 5: Solve for x
    x = 268,380,983,025/237,705
  6. Step 6: Final answer
    x = 1,129,050.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.