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Finding the Third Proportional to 455,724 and 998,932.50

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Solution

The third proportional to 455,724 and 998,932.50 is: 2,189,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,724 : 998,932.50 = 998,932.50 : x
  2. Step 2: Convert to fraction form
    455,724/998,932.50 = 998,932.50/x
  3. Step 3: Cross multiply
    455,724x = 998,932.50 × 998,932.50
  4. Step 4: Simplify right side
    455,724x = 997,866,139,556.25
  5. Step 5: Solve for x
    x = 997,866,139,556.25/455,724
  6. Step 6: Final answer
    x = 2,189,628.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.