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Finding the Third Proportional to 185,419 and 403,886

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Solution

The third proportional to 185,419 and 403,886 is: 879,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,419 : 403,886 = 403,886 : x
  2. Step 2: Convert to fraction form
    185,419/403,886 = 403,886/x
  3. Step 3: Cross multiply
    185,419x = 403,886 × 403,886
  4. Step 4: Simplify right side
    185,419x = 163,123,900,996
  5. Step 5: Solve for x
    x = 163,123,900,996/185,419
  6. Step 6: Final answer
    x = 879,758.28

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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.