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Finding the Third Proportional to 549,688.13 and 840,879.56

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Solution

The third proportional to 549,688.13 and 840,879.56 is: 1,286,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,688.13 : 840,879.56 = 840,879.56 : x
  2. Step 2: Convert to fraction form
    549,688.13/840,879.56 = 840,879.56/x
  3. Step 3: Cross multiply
    549,688.13x = 840,879.56 × 840,879.56
  4. Step 4: Simplify right side
    549,688.13x = 707,078,438,630.19
  5. Step 5: Solve for x
    x = 707,078,438,630.19/549,688.13
  6. Step 6: Final answer
    x = 1,286,326.57

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.