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Finding the Third Proportional to 295,164 and 639,252

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Solution

The third proportional to 295,164 and 639,252 is: 1,384,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,164 : 639,252 = 639,252 : x
  2. Step 2: Convert to fraction form
    295,164/639,252 = 639,252/x
  3. Step 3: Cross multiply
    295,164x = 639,252 × 639,252
  4. Step 4: Simplify right side
    295,164x = 408,643,119,504
  5. Step 5: Solve for x
    x = 408,643,119,504/295,164
  6. Step 6: Final answer
    x = 1,384,461.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.