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Finding the Third Proportional to 185,424 and 403,894

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Solution

The third proportional to 185,424 and 403,894 is: 879,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,424 : 403,894 = 403,894 : x
  2. Step 2: Convert to fraction form
    185,424/403,894 = 403,894/x
  3. Step 3: Cross multiply
    185,424x = 403,894 × 403,894
  4. Step 4: Simplify right side
    185,424x = 163,130,363,236
  5. Step 5: Solve for x
    x = 163,130,363,236/185,424
  6. Step 6: Final answer
    x = 879,769.41

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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.