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Finding the Third Proportional to 292,594 and 629,588

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Solution

The third proportional to 292,594 and 629,588 is: 1,354,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,594 : 629,588 = 629,588 : x
  2. Step 2: Convert to fraction form
    292,594/629,588 = 629,588/x
  3. Step 3: Cross multiply
    292,594x = 629,588 × 629,588
  4. Step 4: Simplify right side
    292,594x = 396,381,049,744
  5. Step 5: Solve for x
    x = 396,381,049,744/292,594
  6. Step 6: Final answer
    x = 1,354,713.53

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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.