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Finding the Third Proportional to 455,930.44 and 715,186.97

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Solution

The third proportional to 455,930.44 and 715,186.97 is: 1,121,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,930.44 : 715,186.97 = 715,186.97 : x
  2. Step 2: Convert to fraction form
    455,930.44/715,186.97 = 715,186.97/x
  3. Step 3: Cross multiply
    455,930.44x = 715,186.97 × 715,186.97
  4. Step 4: Simplify right side
    455,930.44x = 511,492,400,269.81
  5. Step 5: Solve for x
    x = 511,492,400,269.81/455,930.44
  6. Step 6: Final answer
    x = 1,121,865.00

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.