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Finding the Third Proportional to 467,716.50 and 1,024,281

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Solution

The third proportional to 467,716.50 and 1,024,281 is: 2,243,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,716.50 : 1,024,281 = 1,024,281 : x
  2. Step 2: Convert to fraction form
    467,716.50/1,024,281 = 1,024,281/x
  3. Step 3: Cross multiply
    467,716.50x = 1,024,281 × 1,024,281
  4. Step 4: Simplify right side
    467,716.50x = 1,049,151,566,961
  5. Step 5: Solve for x
    x = 1,049,151,566,961/467,716.50
  6. Step 6: Final answer
    x = 2,243,135.68

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Why These Related Problems?

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