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Finding the Third Proportional to 185,043 and 403,491

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Solution

The third proportional to 185,043 and 403,491 is: 879,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,043 : 403,491 = 403,491 : x
  2. Step 2: Convert to fraction form
    185,043/403,491 = 403,491/x
  3. Step 3: Cross multiply
    185,043x = 403,491 × 403,491
  4. Step 4: Simplify right side
    185,043x = 162,804,987,081
  5. Step 5: Solve for x
    x = 162,804,987,081/185,043
  6. Step 6: Final answer
    x = 879,822.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.