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Finding the Third Proportional to 207,739 and 459,074

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Solution

The third proportional to 207,739 and 459,074 is: 1,014,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,739 : 459,074 = 459,074 : x
  2. Step 2: Convert to fraction form
    207,739/459,074 = 459,074/x
  3. Step 3: Cross multiply
    207,739x = 459,074 × 459,074
  4. Step 4: Simplify right side
    207,739x = 210,748,937,476
  5. Step 5: Solve for x
    x = 210,748,937,476/207,739
  6. Step 6: Final answer
    x = 1,014,489.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.