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Finding the Third Proportional to 518,468 and 799,814

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Solution

The third proportional to 518,468 and 799,814 is: 1,233,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,468 : 799,814 = 799,814 : x
  2. Step 2: Convert to fraction form
    518,468/799,814 = 799,814/x
  3. Step 3: Cross multiply
    518,468x = 799,814 × 799,814
  4. Step 4: Simplify right side
    518,468x = 639,702,434,596
  5. Step 5: Solve for x
    x = 639,702,434,596/518,468
  6. Step 6: Final answer
    x = 1,233,832.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.