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Finding the Third Proportional to 296,599 and 639,855

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Solution

The third proportional to 296,599 and 639,855 is: 1,380,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,599 : 639,855 = 639,855 : x
  2. Step 2: Convert to fraction form
    296,599/639,855 = 639,855/x
  3. Step 3: Cross multiply
    296,599x = 639,855 × 639,855
  4. Step 4: Simplify right side
    296,599x = 409,414,421,025
  5. Step 5: Solve for x
    x = 409,414,421,025/296,599
  6. Step 6: Final answer
    x = 1,380,363.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.