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Finding the Third Proportional to 292,380 and 629,877

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Solution

The third proportional to 292,380 and 629,877 is: 1,356,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,380 : 629,877 = 629,877 : x
  2. Step 2: Convert to fraction form
    292,380/629,877 = 629,877/x
  3. Step 3: Cross multiply
    292,380x = 629,877 × 629,877
  4. Step 4: Simplify right side
    292,380x = 396,745,035,129
  5. Step 5: Solve for x
    x = 396,745,035,129/292,380
  6. Step 6: Final answer
    x = 1,356,949.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.