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Finding the Third Proportional to 455,827.50 and 982,287

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Solution

The third proportional to 455,827.50 and 982,287 is: 2,116,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,827.50 : 982,287 = 982,287 : x
  2. Step 2: Convert to fraction form
    455,827.50/982,287 = 982,287/x
  3. Step 3: Cross multiply
    455,827.50x = 982,287 × 982,287
  4. Step 4: Simplify right side
    455,827.50x = 964,887,750,369
  5. Step 5: Solve for x
    x = 964,887,750,369/455,827.50
  6. Step 6: Final answer
    x = 2,116,782.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.