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Finding the Third Proportional to 292,164 and 629,352

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Solution

The third proportional to 292,164 and 629,352 is: 1,355,690.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,164 : 629,352 = 629,352 : x
  2. Step 2: Convert to fraction form
    292,164/629,352 = 629,352/x
  3. Step 3: Cross multiply
    292,164x = 629,352 × 629,352
  4. Step 4: Simplify right side
    292,164x = 396,083,939,904
  5. Step 5: Solve for x
    x = 396,083,939,904/292,164
  6. Step 6: Final answer
    x = 1,355,690.43

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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.