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Finding the Third Proportional to 549,906.75 and 830,392.88

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Solution

The third proportional to 549,906.75 and 830,392.88 is: 1,253,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,906.75 : 830,392.88 = 830,392.88 : x
  2. Step 2: Convert to fraction form
    549,906.75/830,392.88 = 830,392.88/x
  3. Step 3: Cross multiply
    549,906.75x = 830,392.88 × 830,392.88
  4. Step 4: Simplify right side
    549,906.75x = 689,552,326,850.77
  5. Step 5: Solve for x
    x = 689,552,326,850.77/549,906.75
  6. Step 6: Final answer
    x = 1,253,944.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.