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Finding the Third Proportional to 292,820 and 639,342

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Solution

The third proportional to 292,820 and 639,342 is: 1,395,936.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,820 : 639,342 = 639,342 : x
  2. Step 2: Convert to fraction form
    292,820/639,342 = 639,342/x
  3. Step 3: Cross multiply
    292,820x = 639,342 × 639,342
  4. Step 4: Simplify right side
    292,820x = 408,758,192,964
  5. Step 5: Solve for x
    x = 408,758,192,964/292,820
  6. Step 6: Final answer
    x = 1,395,936.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.