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Finding the Third Proportional to 291,245.63 and 391,407.19

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Solution

The third proportional to 291,245.63 and 391,407.19 is: 526,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,245.63 : 391,407.19 = 391,407.19 : x
  2. Step 2: Convert to fraction form
    291,245.63/391,407.19 = 391,407.19/x
  3. Step 3: Cross multiply
    291,245.63x = 391,407.19 × 391,407.19
  4. Step 4: Simplify right side
    291,245.63x = 153,199,586,426.66
  5. Step 5: Solve for x
    x = 153,199,586,426.66/291,245.63
  6. Step 6: Final answer
    x = 526,015.07

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.