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Finding the Third Proportional to 518,338 and 799,595

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Solution

The third proportional to 518,338 and 799,595 is: 1,233,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,338 : 799,595 = 799,595 : x
  2. Step 2: Convert to fraction form
    518,338/799,595 = 799,595/x
  3. Step 3: Cross multiply
    518,338x = 799,595 × 799,595
  4. Step 4: Simplify right side
    518,338x = 639,352,164,025
  5. Step 5: Solve for x
    x = 639,352,164,025/518,338
  6. Step 6: Final answer
    x = 1,233,465.74

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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.