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Finding the Third Proportional to 355,884 and 554,244

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Solution

The third proportional to 355,884 and 554,244 is: 863,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,884 : 554,244 = 554,244 : x
  2. Step 2: Convert to fraction form
    355,884/554,244 = 554,244/x
  3. Step 3: Cross multiply
    355,884x = 554,244 × 554,244
  4. Step 4: Simplify right side
    355,884x = 307,186,411,536
  5. Step 5: Solve for x
    x = 307,186,411,536/355,884
  6. Step 6: Final answer
    x = 863,164.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.