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Finding the Third Proportional to 291,559.50 and 476,091

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Solution

The third proportional to 291,559.50 and 476,091 is: 777,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,559.50 : 476,091 = 476,091 : x
  2. Step 2: Convert to fraction form
    291,559.50/476,091 = 476,091/x
  3. Step 3: Cross multiply
    291,559.50x = 476,091 × 476,091
  4. Step 4: Simplify right side
    291,559.50x = 226,662,640,281
  5. Step 5: Solve for x
    x = 226,662,640,281/291,559.50
  6. Step 6: Final answer
    x = 777,414.70

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.