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Finding the Third Proportional to 549,796.99 and 851,298.29

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Solution

The third proportional to 549,796.99 and 851,298.29 is: 1,318,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,796.99 : 851,298.29 = 851,298.29 : x
  2. Step 2: Convert to fraction form
    549,796.99/851,298.29 = 851,298.29/x
  3. Step 3: Cross multiply
    549,796.99x = 851,298.29 × 851,298.29
  4. Step 4: Simplify right side
    549,796.99x = 724,708,783,611.53
  5. Step 5: Solve for x
    x = 724,708,783,611.53/549,796.99
  6. Step 6: Final answer
    x = 1,318,138.87

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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.