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Finding the Third Proportional to 182,484 and 400,491

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Solution

The third proportional to 182,484 and 400,491 is: 878,943.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,484 : 400,491 = 400,491 : x
  2. Step 2: Convert to fraction form
    182,484/400,491 = 400,491/x
  3. Step 3: Cross multiply
    182,484x = 400,491 × 400,491
  4. Step 4: Simplify right side
    182,484x = 160,393,041,081
  5. Step 5: Solve for x
    x = 160,393,041,081/182,484
  6. Step 6: Final answer
    x = 878,943.04

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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.