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Finding the Third Proportional to 185,654 and 392,476

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Solution

The third proportional to 185,654 and 392,476 is: 829,701.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,654 : 392,476 = 392,476 : x
  2. Step 2: Convert to fraction form
    185,654/392,476 = 392,476/x
  3. Step 3: Cross multiply
    185,654x = 392,476 × 392,476
  4. Step 4: Simplify right side
    185,654x = 154,037,410,576
  5. Step 5: Solve for x
    x = 154,037,410,576/185,654
  6. Step 6: Final answer
    x = 829,701.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.