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Finding the Third Proportional to 549,799 and 851,301

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Solution

The third proportional to 549,799 and 851,301 is: 1,318,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,799 : 851,301 = 851,301 : x
  2. Step 2: Convert to fraction form
    549,799/851,301 = 851,301/x
  3. Step 3: Cross multiply
    549,799x = 851,301 × 851,301
  4. Step 4: Simplify right side
    549,799x = 724,713,392,601
  5. Step 5: Solve for x
    x = 724,713,392,601/549,799
  6. Step 6: Final answer
    x = 1,318,142.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.